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Finding the Fourth Proportional to 7,635.20, 10,536 and 4,491.20

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Solution

The fourth proportional to 7,635.20, 10,536 and 4,491.20 is: 6,197.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,635.20 : 10,536 = 4,491.20 : x
  2. Step 2: Convert to fraction form
    7,635.20/10,536 = 4,491.20/x
  3. Step 3: Cross multiply
    7,635.20x = 10,536 × 4,491.20
  4. Step 4: Simplify right side
    7,635.20x = 47,319,283.20
  5. Step 5: Solve for x
    x = 47,319,283.20/7,635.20
  6. Step 6: Final answer
    x = 6,197.52

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1.5x scale

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.