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Finding the Fourth Proportional to 1,681.46, 2,523.47 and 902.10

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Solution

The fourth proportional to 1,681.46, 2,523.47 and 902.10 is: 1,353.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,681.46 : 2,523.47 = 902.10 : x
  2. Step 2: Convert to fraction form
    1,681.46/2,523.47 = 902.10/x
  3. Step 3: Cross multiply
    1,681.46x = 2,523.47 × 902.10
  4. Step 4: Simplify right side
    1,681.46x = 2,276,432.31
  5. Step 5: Solve for x
    x = 2,276,432.31/1,681.46
  6. Step 6: Final answer
    x = 1,353.84

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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.