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Finding the Fourth Proportional to 11,437.14, 15,784.65 and 6,721.86

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Solution

The fourth proportional to 11,437.14, 15,784.65 and 6,721.86 is: 9,276.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.14 : 15,784.65 = 6,721.86 : x
  2. Step 2: Convert to fraction form
    11,437.14/15,784.65 = 6,721.86/x
  3. Step 3: Cross multiply
    11,437.14x = 15,784.65 × 6,721.86
  4. Step 4: Simplify right side
    11,437.14x = 106,102,207.45
  5. Step 5: Solve for x
    x = 106,102,207.45/11,437.14
  6. Step 6: Final answer
    x = 9,276.99

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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.