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Finding the Fourth Proportional to 1,151.64, 1,737.72 and 1,106.64

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Solution

The fourth proportional to 1,151.64, 1,737.72 and 1,106.64 is: 1,669.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,151.64 : 1,737.72 = 1,106.64 : x
  2. Step 2: Convert to fraction form
    1,151.64/1,737.72 = 1,106.64/x
  3. Step 3: Cross multiply
    1,151.64x = 1,737.72 × 1,106.64
  4. Step 4: Simplify right side
    1,151.64x = 1,923,030.46
  5. Step 5: Solve for x
    x = 1,923,030.46/1,151.64
  6. Step 6: Final answer
    x = 1,669.82

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.