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Finding the Fourth Proportional to 1,520.93, 2,098.87 and 931.50

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Solution

The fourth proportional to 1,520.93, 2,098.87 and 931.50 is: 1,285.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.93 : 2,098.87 = 931.50 : x
  2. Step 2: Convert to fraction form
    1,520.93/2,098.87 = 931.50/x
  3. Step 3: Cross multiply
    1,520.93x = 2,098.87 × 931.50
  4. Step 4: Simplify right side
    1,520.93x = 1,955,095.08
  5. Step 5: Solve for x
    x = 1,955,095.08/1,520.93
  6. Step 6: Final answer
    x = 1,285.46

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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.