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Finding the Fourth Proportional to 12,860, 19,281.36 and 10,354.40

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Solution

The fourth proportional to 12,860, 19,281.36 and 10,354.40 is: 15,524.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860 : 19,281.36 = 10,354.40 : x
  2. Step 2: Convert to fraction form
    12,860/19,281.36 = 10,354.40/x
  3. Step 3: Cross multiply
    12,860x = 19,281.36 × 10,354.40
  4. Step 4: Simplify right side
    12,860x = 199,646,913.98
  5. Step 5: Solve for x
    x = 199,646,913.98/12,860
  6. Step 6: Final answer
    x = 15,524.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.