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Finding the Fourth Proportional to 5,602.64, 7,732.08 and 3,085.20

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Solution

The fourth proportional to 5,602.64, 7,732.08 and 3,085.20 is: 4,257.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,602.64 : 7,732.08 = 3,085.20 : x
  2. Step 2: Convert to fraction form
    5,602.64/7,732.08 = 3,085.20/x
  3. Step 3: Cross multiply
    5,602.64x = 7,732.08 × 3,085.20
  4. Step 4: Simplify right side
    5,602.64x = 23,855,013.22
  5. Step 5: Solve for x
    x = 23,855,013.22/5,602.64
  6. Step 6: Final answer
    x = 4,257.82

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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.