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Finding the Fourth Proportional to 6,742.80, 10,114.20 and 6,038.10

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Solution

The fourth proportional to 6,742.80, 10,114.20 and 6,038.10 is: 9,057.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,742.80 : 10,114.20 = 6,038.10 : x
  2. Step 2: Convert to fraction form
    6,742.80/10,114.20 = 6,038.10/x
  3. Step 3: Cross multiply
    6,742.80x = 10,114.20 × 6,038.10
  4. Step 4: Simplify right side
    6,742.80x = 61,070,551.02
  5. Step 5: Solve for x
    x = 61,070,551.02/6,742.80
  6. Step 6: Final answer
    x = 9,057.15

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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.