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Finding the Fourth Proportional to 7,642.74, 10,547.88 and 4,659

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Solution

The fourth proportional to 7,642.74, 10,547.88 and 4,659 is: 6,429.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.74 : 10,547.88 = 4,659 : x
  2. Step 2: Convert to fraction form
    7,642.74/10,547.88 = 4,659/x
  3. Step 3: Cross multiply
    7,642.74x = 10,547.88 × 4,659
  4. Step 4: Simplify right side
    7,642.74x = 49,142,572.92
  5. Step 5: Solve for x
    x = 49,142,572.92/7,642.74
  6. Step 6: Final answer
    x = 6,429.97

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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.