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Finding the Fourth Proportional to 7,426.40, 10,248.40 and 4,114.40

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Solution

The fourth proportional to 7,426.40, 10,248.40 and 4,114.40 is: 5,677.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,426.40 : 10,248.40 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    7,426.40/10,248.40 = 4,114.40/x
  3. Step 3: Cross multiply
    7,426.40x = 10,248.40 × 4,114.40
  4. Step 4: Simplify right side
    7,426.40x = 42,166,016.96
  5. Step 5: Solve for x
    x = 42,166,016.96/7,426.40
  6. Step 6: Final answer
    x = 5,677.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.