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Finding the Fourth Proportional to 5,306.40, 7,322.40 and 3,182.40

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Solution

The fourth proportional to 5,306.40, 7,322.40 and 3,182.40 is: 4,391.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.40 : 7,322.40 = 3,182.40 : x
  2. Step 2: Convert to fraction form
    5,306.40/7,322.40 = 3,182.40/x
  3. Step 3: Cross multiply
    5,306.40x = 7,322.40 × 3,182.40
  4. Step 4: Simplify right side
    5,306.40x = 23,302,805.76
  5. Step 5: Solve for x
    x = 23,302,805.76/5,306.40
  6. Step 6: Final answer
    x = 4,391.45

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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.