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Finding the Fourth Proportional to 1,140.51, 1,711.52 and 1,047.57

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Solution

The fourth proportional to 1,140.51, 1,711.52 and 1,047.57 is: 1,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,140.51 : 1,711.52 = 1,047.57 : x
  2. Step 2: Convert to fraction form
    1,140.51/1,711.52 = 1,047.57/x
  3. Step 3: Cross multiply
    1,140.51x = 1,711.52 × 1,047.57
  4. Step 4: Simplify right side
    1,140.51x = 1,792,931.77
  5. Step 5: Solve for x
    x = 1,792,931.77/1,140.51
  6. Step 6: Final answer
    x = 1,572.04

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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.