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Finding the Fourth Proportional to 11,429, 15,761.22 and 7,453.16

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Solution

The fourth proportional to 11,429, 15,761.22 and 7,453.16 is: 10,278.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429 : 15,761.22 = 7,453.16 : x
  2. Step 2: Convert to fraction form
    11,429/15,761.22 = 7,453.16/x
  3. Step 3: Cross multiply
    11,429x = 15,761.22 × 7,453.16
  4. Step 4: Simplify right side
    11,429x = 117,470,894.46
  5. Step 5: Solve for x
    x = 117,470,894.46/11,429
  6. Step 6: Final answer
    x = 10,278.32

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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.