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Finding the Fourth Proportional to 1,003.04, 1,384.36 and 972.26

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Solution

The fourth proportional to 1,003.04, 1,384.36 and 972.26 is: 1,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.04 : 1,384.36 = 972.26 : x
  2. Step 2: Convert to fraction form
    1,003.04/1,384.36 = 972.26/x
  3. Step 3: Cross multiply
    1,003.04x = 1,384.36 × 972.26
  4. Step 4: Simplify right side
    1,003.04x = 1,345,948.50
  5. Step 5: Solve for x
    x = 1,345,948.50/1,003.04
  6. Step 6: Final answer
    x = 1,341.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.