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Finding the Fourth Proportional to 2,990.32, 4,486.19 and 938.32

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Solution

The fourth proportional to 2,990.32, 4,486.19 and 938.32 is: 1,407.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.32 : 4,486.19 = 938.32 : x
  2. Step 2: Convert to fraction form
    2,990.32/4,486.19 = 938.32/x
  3. Step 3: Cross multiply
    2,990.32x = 4,486.19 × 938.32
  4. Step 4: Simplify right side
    2,990.32x = 4,209,477.11
  5. Step 5: Solve for x
    x = 4,209,477.11/2,990.32
  6. Step 6: Final answer
    x = 1,407.70

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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.