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Finding the Fourth Proportional to 2,938.16, 4,407.84 and 990.32

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Solution

The fourth proportional to 2,938.16, 4,407.84 and 990.32 is: 1,485.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,938.16 : 4,407.84 = 990.32 : x
  2. Step 2: Convert to fraction form
    2,938.16/4,407.84 = 990.32/x
  3. Step 3: Cross multiply
    2,938.16x = 4,407.84 × 990.32
  4. Step 4: Simplify right side
    2,938.16x = 4,365,172.11
  5. Step 5: Solve for x
    x = 4,365,172.11/2,938.16
  6. Step 6: Final answer
    x = 1,485.68

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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.