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Finding the Fourth Proportional to 1,348.84, 1,857.54 and 974.92

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Solution

The fourth proportional to 1,348.84, 1,857.54 and 974.92 is: 1,342.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,348.84 : 1,857.54 = 974.92 : x
  2. Step 2: Convert to fraction form
    1,348.84/1,857.54 = 974.92/x
  3. Step 3: Cross multiply
    1,348.84x = 1,857.54 × 974.92
  4. Step 4: Simplify right side
    1,348.84x = 1,810,952.90
  5. Step 5: Solve for x
    x = 1,810,952.90/1,348.84
  6. Step 6: Final answer
    x = 1,342.60

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1.5x scale

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.