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Finding the Fourth Proportional to 1,985.44, 2,979.02 and 946.18

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Solution

The fourth proportional to 1,985.44, 2,979.02 and 946.18 is: 1,419.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,985.44 : 2,979.02 = 946.18 : x
  2. Step 2: Convert to fraction form
    1,985.44/2,979.02 = 946.18/x
  3. Step 3: Cross multiply
    1,985.44x = 2,979.02 × 946.18
  4. Step 4: Simplify right side
    1,985.44x = 2,818,689.14
  5. Step 5: Solve for x
    x = 2,818,689.14/1,985.44
  6. Step 6: Final answer
    x = 1,419.68

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1.5x scale

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.