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Finding the Fourth Proportional to 11,505.71, 15,888.29 and 7,264.28

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Solution

The fourth proportional to 11,505.71, 15,888.29 and 7,264.28 is: 10,031.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,505.71 : 15,888.29 = 7,264.28 : x
  2. Step 2: Convert to fraction form
    11,505.71/15,888.29 = 7,264.28/x
  3. Step 3: Cross multiply
    11,505.71x = 15,888.29 × 7,264.28
  4. Step 4: Simplify right side
    11,505.71x = 115,416,950.96
  5. Step 5: Solve for x
    x = 115,416,950.96/11,505.71
  6. Step 6: Final answer
    x = 10,031.28

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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.