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Finding the Fourth Proportional to 25,459, 35,133.54 and 14,281

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Solution

The fourth proportional to 25,459, 35,133.54 and 14,281 is: 19,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,459 : 35,133.54 = 14,281 : x
  2. Step 2: Convert to fraction form
    25,459/35,133.54 = 14,281/x
  3. Step 3: Cross multiply
    25,459x = 35,133.54 × 14,281
  4. Step 4: Simplify right side
    25,459x = 501,742,084.74
  5. Step 5: Solve for x
    x = 501,742,084.74/25,459
  6. Step 6: Final answer
    x = 19,707.85

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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.