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Finding the Fourth Proportional to 25,390, 35,038.20 and 14,212

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Solution

The fourth proportional to 25,390, 35,038.20 and 14,212 is: 19,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,390 : 35,038.20 = 14,212 : x
  2. Step 2: Convert to fraction form
    25,390/35,038.20 = 14,212/x
  3. Step 3: Cross multiply
    25,390x = 35,038.20 × 14,212
  4. Step 4: Simplify right side
    25,390x = 497,962,898.40
  5. Step 5: Solve for x
    x = 497,962,898.40/25,390
  6. Step 6: Final answer
    x = 19,612.56

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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.