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Finding the Fourth Proportional to 18,823.52, 25,977.28 and 10,440

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Solution

The fourth proportional to 18,823.52, 25,977.28 and 10,440 is: 14,407.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,823.52 : 25,977.28 = 10,440 : x
  2. Step 2: Convert to fraction form
    18,823.52/25,977.28 = 10,440/x
  3. Step 3: Cross multiply
    18,823.52x = 25,977.28 × 10,440
  4. Step 4: Simplify right side
    18,823.52x = 271,202,803.20
  5. Step 5: Solve for x
    x = 271,202,803.20/18,823.52
  6. Step 6: Final answer
    x = 14,407.66

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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.