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Finding the Fourth Proportional to 7,039.71, 9,706.64 and 5,709.29

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Solution

The fourth proportional to 7,039.71, 9,706.64 and 5,709.29 is: 7,872.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,039.71 : 9,706.64 = 5,709.29 : x
  2. Step 2: Convert to fraction form
    7,039.71/9,706.64 = 5,709.29/x
  3. Step 3: Cross multiply
    7,039.71x = 9,706.64 × 5,709.29
  4. Step 4: Simplify right side
    7,039.71x = 55,417,945.61
  5. Step 5: Solve for x
    x = 55,417,945.61/7,039.71
  6. Step 6: Final answer
    x = 7,872.19

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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.