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Finding the Fourth Proportional to 7,641.68, 10,547.39 and 4,659.16

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Solution

The fourth proportional to 7,641.68, 10,547.39 and 4,659.16 is: 6,430.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.68 : 10,547.39 = 4,659.16 : x
  2. Step 2: Convert to fraction form
    7,641.68/10,547.39 = 4,659.16/x
  3. Step 3: Cross multiply
    7,641.68x = 10,547.39 × 4,659.16
  4. Step 4: Simplify right side
    7,641.68x = 49,141,962.87
  5. Step 5: Solve for x
    x = 49,141,962.87/7,641.68
  6. Step 6: Final answer
    x = 6,430.78

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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.