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Finding the Fourth Proportional to 25,897.60, 38,817.60 and 14,219.20

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Solution

The fourth proportional to 25,897.60, 38,817.60 and 14,219.20 is: 21,312.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,897.60 : 38,817.60 = 14,219.20 : x
  2. Step 2: Convert to fraction form
    25,897.60/38,817.60 = 14,219.20/x
  3. Step 3: Cross multiply
    25,897.60x = 38,817.60 × 14,219.20
  4. Step 4: Simplify right side
    25,897.60x = 551,955,217.92
  5. Step 5: Solve for x
    x = 551,955,217.92/25,897.60
  6. Step 6: Final answer
    x = 21,312.99

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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.