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Finding the Fourth Proportional to 9,686.72, 13,342.21 and 7,444.31

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Solution

The fourth proportional to 9,686.72, 13,342.21 and 7,444.31 is: 10,253.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.72 : 13,342.21 = 7,444.31 : x
  2. Step 2: Convert to fraction form
    9,686.72/13,342.21 = 7,444.31/x
  3. Step 3: Cross multiply
    9,686.72x = 13,342.21 × 7,444.31
  4. Step 4: Simplify right side
    9,686.72x = 99,323,480.61
  5. Step 5: Solve for x
    x = 99,323,480.61/9,686.72
  6. Step 6: Final answer
    x = 10,253.57

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Double scale
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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.