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Finding the Fourth Proportional to 18,931.10, 26,124.99 and 10,978.01

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Solution

The fourth proportional to 18,931.10, 26,124.99 and 10,978.01 is: 15,149.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,931.10 : 26,124.99 = 10,978.01 : x
  2. Step 2: Convert to fraction form
    18,931.10/26,124.99 = 10,978.01/x
  3. Step 3: Cross multiply
    18,931.10x = 26,124.99 × 10,978.01
  4. Step 4: Simplify right side
    18,931.10x = 286,800,401.47
  5. Step 5: Solve for x
    x = 286,800,401.47/18,931.10
  6. Step 6: Final answer
    x = 15,149.70

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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.