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Finding the Fourth Proportional to 7,116.40, 10,658.40 and 4,200.40

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Solution

The fourth proportional to 7,116.40, 10,658.40 and 4,200.40 is: 6,291.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,116.40 : 10,658.40 = 4,200.40 : x
  2. Step 2: Convert to fraction form
    7,116.40/10,658.40 = 4,200.40/x
  3. Step 3: Cross multiply
    7,116.40x = 10,658.40 × 4,200.40
  4. Step 4: Simplify right side
    7,116.40x = 44,769,543.36
  5. Step 5: Solve for x
    x = 44,769,543.36/7,116.40
  6. Step 6: Final answer
    x = 6,291.04

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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.