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Finding the Fourth Proportional to 1,385.70, 1,908.12 and 992.04

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Solution

The fourth proportional to 1,385.70, 1,908.12 and 992.04 is: 1,366.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,385.70 : 1,908.12 = 992.04 : x
  2. Step 2: Convert to fraction form
    1,385.70/1,908.12 = 992.04/x
  3. Step 3: Cross multiply
    1,385.70x = 1,908.12 × 992.04
  4. Step 4: Simplify right side
    1,385.70x = 1,892,931.36
  5. Step 5: Solve for x
    x = 1,892,931.36/1,385.70
  6. Step 6: Final answer
    x = 1,366.05

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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.