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Finding the Fourth Proportional to 7,024.64, 9,695.88 and 4,040.80

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Solution

The fourth proportional to 7,024.64, 9,695.88 and 4,040.80 is: 5,577.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,024.64 : 9,695.88 = 4,040.80 : x
  2. Step 2: Convert to fraction form
    7,024.64/9,695.88 = 4,040.80/x
  3. Step 3: Cross multiply
    7,024.64x = 9,695.88 × 4,040.80
  4. Step 4: Simplify right side
    7,024.64x = 39,179,111.90
  5. Step 5: Solve for x
    x = 39,179,111.90/7,024.64
  6. Step 6: Final answer
    x = 5,577.38

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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.