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Finding the Fourth Proportional to 7,805.47, 10,772.83 and 5,802.19

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Solution

The fourth proportional to 7,805.47, 10,772.83 and 5,802.19 is: 8,007.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,805.47 : 10,772.83 = 5,802.19 : x
  2. Step 2: Convert to fraction form
    7,805.47/10,772.83 = 5,802.19/x
  3. Step 3: Cross multiply
    7,805.47x = 10,772.83 × 5,802.19
  4. Step 4: Simplify right side
    7,805.47x = 62,506,005.46
  5. Step 5: Solve for x
    x = 62,506,005.46/7,805.47
  6. Step 6: Final answer
    x = 8,007.97

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.