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Finding the Fourth Proportional to 7,830.56, 10,802.54 and 6,935.22

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Solution

The fourth proportional to 7,830.56, 10,802.54 and 6,935.22 is: 9,567.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,830.56 : 10,802.54 = 6,935.22 : x
  2. Step 2: Convert to fraction form
    7,830.56/10,802.54 = 6,935.22/x
  3. Step 3: Cross multiply
    7,830.56x = 10,802.54 × 6,935.22
  4. Step 4: Simplify right side
    7,830.56x = 74,917,991.46
  5. Step 5: Solve for x
    x = 74,917,991.46/7,830.56
  6. Step 6: Final answer
    x = 9,567.39

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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.