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Finding the Fourth Proportional to 6,444.30, 9,716.16 and 6,404.32

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Solution

The fourth proportional to 6,444.30, 9,716.16 and 6,404.32 is: 9,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.30 : 9,716.16 = 6,404.32 : x
  2. Step 2: Convert to fraction form
    6,444.30/9,716.16 = 6,404.32/x
  3. Step 3: Cross multiply
    6,444.30x = 9,716.16 × 6,404.32
  4. Step 4: Simplify right side
    6,444.30x = 62,225,397.81
  5. Step 5: Solve for x
    x = 62,225,397.81/6,444.30
  6. Step 6: Final answer
    x = 9,655.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.