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Finding the Fourth Proportional to 2,752.40, 4,127.99 and 997.13

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Solution

The fourth proportional to 2,752.40, 4,127.99 and 997.13 is: 1,495.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,752.40 : 4,127.99 = 997.13 : x
  2. Step 2: Convert to fraction form
    2,752.40/4,127.99 = 997.13/x
  3. Step 3: Cross multiply
    2,752.40x = 4,127.99 × 997.13
  4. Step 4: Simplify right side
    2,752.40x = 4,116,117.04
  5. Step 5: Solve for x
    x = 4,116,117.04/2,752.40
  6. Step 6: Final answer
    x = 1,495.47

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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.