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Finding the Fourth Proportional to 10,011.76, 15,008.58 and 4,743.50

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Solution

The fourth proportional to 10,011.76, 15,008.58 and 4,743.50 is: 7,110.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,011.76 : 15,008.58 = 4,743.50 : x
  2. Step 2: Convert to fraction form
    10,011.76/15,008.58 = 4,743.50/x
  3. Step 3: Cross multiply
    10,011.76x = 15,008.58 × 4,743.50
  4. Step 4: Simplify right side
    10,011.76x = 71,193,124.19
  5. Step 5: Solve for x
    x = 71,193,124.19/10,011.76
  6. Step 6: Final answer
    x = 7,110.95

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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.