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Finding the Fourth Proportional to 4,973.28, 7,461.84 and 1,687.20

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Solution

The fourth proportional to 4,973.28, 7,461.84 and 1,687.20 is: 2,531.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.28 : 7,461.84 = 1,687.20 : x
  2. Step 2: Convert to fraction form
    4,973.28/7,461.84 = 1,687.20/x
  3. Step 3: Cross multiply
    4,973.28x = 7,461.84 × 1,687.20
  4. Step 4: Simplify right side
    4,973.28x = 12,589,616.45
  5. Step 5: Solve for x
    x = 12,589,616.45/4,973.28
  6. Step 6: Final answer
    x = 2,531.45

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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.