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Finding the Fourth Proportional to 5,272.64, 7,908.90 and 1,574.90

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Solution

The fourth proportional to 5,272.64, 7,908.90 and 1,574.90 is: 2,362.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,272.64 : 7,908.90 = 1,574.90 : x
  2. Step 2: Convert to fraction form
    5,272.64/7,908.90 = 1,574.90/x
  3. Step 3: Cross multiply
    5,272.64x = 7,908.90 × 1,574.90
  4. Step 4: Simplify right side
    5,272.64x = 12,455,726.61
  5. Step 5: Solve for x
    x = 12,455,726.61/5,272.64
  6. Step 6: Final answer
    x = 2,362.33

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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.