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Finding the Fourth Proportional to 1,113.06, 1,527.06 and 1,084.32

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Solution

The fourth proportional to 1,113.06, 1,527.06 and 1,084.32 is: 1,487.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.06 : 1,527.06 = 1,084.32 : x
  2. Step 2: Convert to fraction form
    1,113.06/1,527.06 = 1,084.32/x
  3. Step 3: Cross multiply
    1,113.06x = 1,527.06 × 1,084.32
  4. Step 4: Simplify right side
    1,113.06x = 1,655,821.70
  5. Step 5: Solve for x
    x = 1,655,821.70/1,113.06
  6. Step 6: Final answer
    x = 1,487.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.