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Finding the Fourth Proportional to 8,900.48, 12,274.54 and 7,641.14

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Solution

The fourth proportional to 8,900.48, 12,274.54 and 7,641.14 is: 10,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.48 : 12,274.54 = 7,641.14 : x
  2. Step 2: Convert to fraction form
    8,900.48/12,274.54 = 7,641.14/x
  3. Step 3: Cross multiply
    8,900.48x = 12,274.54 × 7,641.14
  4. Step 4: Simplify right side
    8,900.48x = 93,791,398.10
  5. Step 5: Solve for x
    x = 93,791,398.10/8,900.48
  6. Step 6: Final answer
    x = 10,537.79

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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.