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Finding the Fourth Proportional to 1,141.48, 1,711.50 and 1,011.16

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Solution

The fourth proportional to 1,141.48, 1,711.50 and 1,011.16 is: 1,516.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,141.48 : 1,711.50 = 1,011.16 : x
  2. Step 2: Convert to fraction form
    1,141.48/1,711.50 = 1,011.16/x
  3. Step 3: Cross multiply
    1,141.48x = 1,711.50 × 1,011.16
  4. Step 4: Simplify right side
    1,141.48x = 1,730,600.34
  5. Step 5: Solve for x
    x = 1,730,600.34/1,141.48
  6. Step 6: Final answer
    x = 1,516.10

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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.