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Finding the Fourth Proportional to 7,802.57, 11,703.87 and 1,959.17

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Solution

The fourth proportional to 7,802.57, 11,703.87 and 1,959.17 is: 2,938.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,802.57 : 11,703.87 = 1,959.17 : x
  2. Step 2: Convert to fraction form
    7,802.57/11,703.87 = 1,959.17/x
  3. Step 3: Cross multiply
    7,802.57x = 11,703.87 × 1,959.17
  4. Step 4: Simplify right side
    7,802.57x = 22,929,812.47
  5. Step 5: Solve for x
    x = 22,929,812.47/7,802.57
  6. Step 6: Final answer
    x = 2,938.75

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.