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Finding the Fourth Proportional to 9,024.40, 13,515.48 and 7,805.20

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Solution

The fourth proportional to 9,024.40, 13,515.48 and 7,805.20 is: 11,689.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.40 : 13,515.48 = 7,805.20 : x
  2. Step 2: Convert to fraction form
    9,024.40/13,515.48 = 7,805.20/x
  3. Step 3: Cross multiply
    9,024.40x = 13,515.48 × 7,805.20
  4. Step 4: Simplify right side
    9,024.40x = 105,491,024.50
  5. Step 5: Solve for x
    x = 105,491,024.50/9,024.40
  6. Step 6: Final answer
    x = 11,689.53

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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.