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Finding the Fourth Proportional to 1,680.47, 2,320.43 and 1,092.01

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Solution

The fourth proportional to 1,680.47, 2,320.43 and 1,092.01 is: 1,507.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,680.47 : 2,320.43 = 1,092.01 : x
  2. Step 2: Convert to fraction form
    1,680.47/2,320.43 = 1,092.01/x
  3. Step 3: Cross multiply
    1,680.47x = 2,320.43 × 1,092.01
  4. Step 4: Simplify right side
    1,680.47x = 2,533,932.76
  5. Step 5: Solve for x
    x = 2,533,932.76/1,680.47
  6. Step 6: Final answer
    x = 1,507.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.