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Finding the Fourth Proportional to 9,678.60, 13,357.74 and 5,487

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Solution

The fourth proportional to 9,678.60, 13,357.74 and 5,487 is: 7,572.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.60 : 13,357.74 = 5,487 : x
  2. Step 2: Convert to fraction form
    9,678.60/13,357.74 = 5,487/x
  3. Step 3: Cross multiply
    9,678.60x = 13,357.74 × 5,487
  4. Step 4: Simplify right side
    9,678.60x = 73,293,919.38
  5. Step 5: Solve for x
    x = 73,293,919.38/9,678.60
  6. Step 6: Final answer
    x = 7,572.78

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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.