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Finding the Fourth Proportional to 11,913.13, 16,429.35 and 7,437.29

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Solution

The fourth proportional to 11,913.13, 16,429.35 and 7,437.29 is: 10,256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,913.13 : 16,429.35 = 7,437.29 : x
  2. Step 2: Convert to fraction form
    11,913.13/16,429.35 = 7,437.29/x
  3. Step 3: Cross multiply
    11,913.13x = 16,429.35 × 7,437.29
  4. Step 4: Simplify right side
    11,913.13x = 122,189,840.46
  5. Step 5: Solve for x
    x = 122,189,840.46/11,913.13
  6. Step 6: Final answer
    x = 10,256.74

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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.