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Finding the Fourth Proportional to 1,127.64, 1,681.80 and 1,069.32

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Solution

The fourth proportional to 1,127.64, 1,681.80 and 1,069.32 is: 1,594.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,127.64 : 1,681.80 = 1,069.32 : x
  2. Step 2: Convert to fraction form
    1,127.64/1,681.80 = 1,069.32/x
  3. Step 3: Cross multiply
    1,127.64x = 1,681.80 × 1,069.32
  4. Step 4: Simplify right side
    1,127.64x = 1,798,382.38
  5. Step 5: Solve for x
    x = 1,798,382.38/1,127.64
  6. Step 6: Final answer
    x = 1,594.82

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.