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Finding the Fourth Proportional to 7,904.71, 10,886.29 and 7,732.49

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Solution

The fourth proportional to 7,904.71, 10,886.29 and 7,732.49 is: 10,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,904.71 : 10,886.29 = 7,732.49 : x
  2. Step 2: Convert to fraction form
    7,904.71/10,886.29 = 7,732.49/x
  3. Step 3: Cross multiply
    7,904.71x = 10,886.29 × 7,732.49
  4. Step 4: Simplify right side
    7,904.71x = 84,178,074.54
  5. Step 5: Solve for x
    x = 84,178,074.54/7,904.71
  6. Step 6: Final answer
    x = 10,649.10

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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.