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Finding the Fourth Proportional to 25,670, 35,425.20 and 14,492

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Solution

The fourth proportional to 25,670, 35,425.20 and 14,492 is: 19,999.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,670 : 35,425.20 = 14,492 : x
  2. Step 2: Convert to fraction form
    25,670/35,425.20 = 14,492/x
  3. Step 3: Cross multiply
    25,670x = 35,425.20 × 14,492
  4. Step 4: Simplify right side
    25,670x = 513,381,998.40
  5. Step 5: Solve for x
    x = 513,381,998.40/25,670
  6. Step 6: Final answer
    x = 19,999.30

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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.