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Finding the Fourth Proportional to 5,200.61, 7,799.02 and 1,502.08

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Solution

The fourth proportional to 5,200.61, 7,799.02 and 1,502.08 is: 2,252.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.61 : 7,799.02 = 1,502.08 : x
  2. Step 2: Convert to fraction form
    5,200.61/7,799.02 = 1,502.08/x
  3. Step 3: Cross multiply
    5,200.61x = 7,799.02 × 1,502.08
  4. Step 4: Simplify right side
    5,200.61x = 11,714,728.71
  5. Step 5: Solve for x
    x = 11,714,728.71/5,200.61
  6. Step 6: Final answer
    x = 2,252.57

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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.