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Finding the Fourth Proportional to 9,164.54, 12,647.12 and 4,972.80

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Solution

The fourth proportional to 9,164.54, 12,647.12 and 4,972.80 is: 6,862.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.54 : 12,647.12 = 4,972.80 : x
  2. Step 2: Convert to fraction form
    9,164.54/12,647.12 = 4,972.80/x
  3. Step 3: Cross multiply
    9,164.54x = 12,647.12 × 4,972.80
  4. Step 4: Simplify right side
    9,164.54x = 62,891,598.34
  5. Step 5: Solve for x
    x = 62,891,598.34/9,164.54
  6. Step 6: Final answer
    x = 6,862.49

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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.