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Finding the Fourth Proportional to 25,985.80, 38,978.70 and 8,457.40

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Solution

The fourth proportional to 25,985.80, 38,978.70 and 8,457.40 is: 12,686.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,985.80 : 38,978.70 = 8,457.40 : x
  2. Step 2: Convert to fraction form
    25,985.80/38,978.70 = 8,457.40/x
  3. Step 3: Cross multiply
    25,985.80x = 38,978.70 × 8,457.40
  4. Step 4: Simplify right side
    25,985.80x = 329,658,457.38
  5. Step 5: Solve for x
    x = 329,658,457.38/25,985.80
  6. Step 6: Final answer
    x = 12,686.10

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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.