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Finding the Fourth Proportional to 9,625.20, 14,437.80 and 9,049.20

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Solution

The fourth proportional to 9,625.20, 14,437.80 and 9,049.20 is: 13,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.20 : 14,437.80 = 9,049.20 : x
  2. Step 2: Convert to fraction form
    9,625.20/14,437.80 = 9,049.20/x
  3. Step 3: Cross multiply
    9,625.20x = 14,437.80 × 9,049.20
  4. Step 4: Simplify right side
    9,625.20x = 130,650,539.76
  5. Step 5: Solve for x
    x = 130,650,539.76/9,625.20
  6. Step 6: Final answer
    x = 13,573.80

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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.