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Finding the Fourth Proportional to 1,983.95, 2,970.45 and 1,495.52

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Solution

The fourth proportional to 1,983.95, 2,970.45 and 1,495.52 is: 2,239.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,983.95 : 2,970.45 = 1,495.52 : x
  2. Step 2: Convert to fraction form
    1,983.95/2,970.45 = 1,495.52/x
  3. Step 3: Cross multiply
    1,983.95x = 2,970.45 × 1,495.52
  4. Step 4: Simplify right side
    1,983.95x = 4,442,352.53
  5. Step 5: Solve for x
    x = 4,442,352.53/1,983.95
  6. Step 6: Final answer
    x = 2,239.15

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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.