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Finding the Fourth Proportional to 1,428.76, 1,972.02 and 930.53

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Solution

The fourth proportional to 1,428.76, 1,972.02 and 930.53 is: 1,284.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.76 : 1,972.02 = 930.53 : x
  2. Step 2: Convert to fraction form
    1,428.76/1,972.02 = 930.53/x
  3. Step 3: Cross multiply
    1,428.76x = 1,972.02 × 930.53
  4. Step 4: Simplify right side
    1,428.76x = 1,835,023.77
  5. Step 5: Solve for x
    x = 1,835,023.77/1,428.76
  6. Step 6: Final answer
    x = 1,284.35

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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.