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Finding the Fourth Proportional to 1,376.04, 1,901.70 and 1,353

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Solution

The fourth proportional to 1,376.04, 1,901.70 and 1,353 is: 1,869.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,376.04 : 1,901.70 = 1,353 : x
  2. Step 2: Convert to fraction form
    1,376.04/1,901.70 = 1,353/x
  3. Step 3: Cross multiply
    1,376.04x = 1,901.70 × 1,353
  4. Step 4: Simplify right side
    1,376.04x = 2,573,000.10
  5. Step 5: Solve for x
    x = 2,573,000.10/1,376.04
  6. Step 6: Final answer
    x = 1,869.86

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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.