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Finding the Fourth Proportional to 11,437.72, 15,784.42 and 6,721.08

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Solution

The fourth proportional to 11,437.72, 15,784.42 and 6,721.08 is: 9,275.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.72 : 15,784.42 = 6,721.08 : x
  2. Step 2: Convert to fraction form
    11,437.72/15,784.42 = 6,721.08/x
  3. Step 3: Cross multiply
    11,437.72x = 15,784.42 × 6,721.08
  4. Step 4: Simplify right side
    11,437.72x = 106,088,349.57
  5. Step 5: Solve for x
    x = 106,088,349.57/11,437.72
  6. Step 6: Final answer
    x = 9,275.31

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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.