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Finding the Fourth Proportional to 2,100.32, 2,898.50 and 1,156.06

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Solution

The fourth proportional to 2,100.32, 2,898.50 and 1,156.06 is: 1,595.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,100.32 : 2,898.50 = 1,156.06 : x
  2. Step 2: Convert to fraction form
    2,100.32/2,898.50 = 1,156.06/x
  3. Step 3: Cross multiply
    2,100.32x = 2,898.50 × 1,156.06
  4. Step 4: Simplify right side
    2,100.32x = 3,350,825.42
  5. Step 5: Solve for x
    x = 3,350,825.42/2,100.32
  6. Step 6: Final answer
    x = 1,595.39

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Why These Related Problems?

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