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Finding the Fourth Proportional to 1,487.87, 2,052.35 and 983.72

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Solution

The fourth proportional to 1,487.87, 2,052.35 and 983.72 is: 1,356.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,487.87 : 2,052.35 = 983.72 : x
  2. Step 2: Convert to fraction form
    1,487.87/2,052.35 = 983.72/x
  3. Step 3: Cross multiply
    1,487.87x = 2,052.35 × 983.72
  4. Step 4: Simplify right side
    1,487.87x = 2,018,933.10
  5. Step 5: Solve for x
    x = 2,018,933.10/1,487.87
  6. Step 6: Final answer
    x = 1,356.93

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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.