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Finding the Fourth Proportional to 10,000.52, 15,000.72 and 2,980.48

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Solution

The fourth proportional to 10,000.52, 15,000.72 and 2,980.48 is: 4,470.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.52 : 15,000.72 = 2,980.48 : x
  2. Step 2: Convert to fraction form
    10,000.52/15,000.72 = 2,980.48/x
  3. Step 3: Cross multiply
    10,000.52x = 15,000.72 × 2,980.48
  4. Step 4: Simplify right side
    10,000.52x = 44,709,345.95
  5. Step 5: Solve for x
    x = 44,709,345.95/10,000.52
  6. Step 6: Final answer
    x = 4,470.70

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1.5x scale

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.