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Finding the Fourth Proportional to 25,440, 35,107.56 and 14,262

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Solution

The fourth proportional to 25,440, 35,107.56 and 14,262 is: 19,681.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,440 : 35,107.56 = 14,262 : x
  2. Step 2: Convert to fraction form
    25,440/35,107.56 = 14,262/x
  3. Step 3: Cross multiply
    25,440x = 35,107.56 × 14,262
  4. Step 4: Simplify right side
    25,440x = 500,704,020.72
  5. Step 5: Solve for x
    x = 500,704,020.72/25,440
  6. Step 6: Final answer
    x = 19,681.76

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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.