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Finding the Fourth Proportional to 25,011.76, 34,516 and 13,681.48

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Solution

The fourth proportional to 25,011.76, 34,516 and 13,681.48 is: 18,880.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,011.76 : 34,516 = 13,681.48 : x
  2. Step 2: Convert to fraction form
    25,011.76/34,516 = 13,681.48/x
  3. Step 3: Cross multiply
    25,011.76x = 34,516 × 13,681.48
  4. Step 4: Simplify right side
    25,011.76x = 472,229,963.68
  5. Step 5: Solve for x
    x = 472,229,963.68/25,011.76
  6. Step 6: Final answer
    x = 18,880.32

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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.