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Finding the Fourth Proportional to 25,914, 35,762.40 and 15,312.72

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Solution

The fourth proportional to 25,914, 35,762.40 and 15,312.72 is: 21,132.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914 : 35,762.40 = 15,312.72 : x
  2. Step 2: Convert to fraction form
    25,914/35,762.40 = 15,312.72/x
  3. Step 3: Cross multiply
    25,914x = 35,762.40 × 15,312.72
  4. Step 4: Simplify right side
    25,914x = 547,619,617.73
  5. Step 5: Solve for x
    x = 547,619,617.73/25,914
  6. Step 6: Final answer
    x = 21,132.19

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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.