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Finding the Fourth Proportional to 25,294, 37,940.94 and 8,654.20

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Solution

The fourth proportional to 25,294, 37,940.94 and 8,654.20 is: 12,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,294 : 37,940.94 = 8,654.20 : x
  2. Step 2: Convert to fraction form
    25,294/37,940.94 = 8,654.20/x
  3. Step 3: Cross multiply
    25,294x = 37,940.94 × 8,654.20
  4. Step 4: Simplify right side
    25,294x = 328,348,482.95
  5. Step 5: Solve for x
    x = 328,348,482.95/25,294
  6. Step 6: Final answer
    x = 12,981.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.