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Finding the Fourth Proportional to 12,502.76, 18,756.77 and 4,711.50

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Solution

The fourth proportional to 12,502.76, 18,756.77 and 4,711.50 is: 7,068.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,502.76 : 18,756.77 = 4,711.50 : x
  2. Step 2: Convert to fraction form
    12,502.76/18,756.77 = 4,711.50/x
  3. Step 3: Cross multiply
    12,502.76x = 18,756.77 × 4,711.50
  4. Step 4: Simplify right side
    12,502.76x = 88,372,498.30
  5. Step 5: Solve for x
    x = 88,372,498.30/12,502.76
  6. Step 6: Final answer
    x = 7,068.24

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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.