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Finding the Fourth Proportional to 1,671.80, 2,307.20 and 973.28

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Solution

The fourth proportional to 1,671.80, 2,307.20 and 973.28 is: 1,343.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,671.80 : 2,307.20 = 973.28 : x
  2. Step 2: Convert to fraction form
    1,671.80/2,307.20 = 973.28/x
  3. Step 3: Cross multiply
    1,671.80x = 2,307.20 × 973.28
  4. Step 4: Simplify right side
    1,671.80x = 2,245,551.62
  5. Step 5: Solve for x
    x = 2,245,551.62/1,671.80
  6. Step 6: Final answer
    x = 1,343.19

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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.