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Finding the Fourth Proportional to 2,637.98, 3,957.30 and 972.21

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Solution

The fourth proportional to 2,637.98, 3,957.30 and 972.21 is: 1,458.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,637.98 : 3,957.30 = 972.21 : x
  2. Step 2: Convert to fraction form
    2,637.98/3,957.30 = 972.21/x
  3. Step 3: Cross multiply
    2,637.98x = 3,957.30 × 972.21
  4. Step 4: Simplify right side
    2,637.98x = 3,847,326.63
  5. Step 5: Solve for x
    x = 3,847,326.63/2,637.98
  6. Step 6: Final answer
    x = 1,458.44

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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.