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Finding the Fourth Proportional to 10,282.40, 15,412.80 and 5,890.40

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Solution

The fourth proportional to 10,282.40, 15,412.80 and 5,890.40 is: 8,829.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,282.40 : 15,412.80 = 5,890.40 : x
  2. Step 2: Convert to fraction form
    10,282.40/15,412.80 = 5,890.40/x
  3. Step 3: Cross multiply
    10,282.40x = 15,412.80 × 5,890.40
  4. Step 4: Simplify right side
    10,282.40x = 90,787,557.12
  5. Step 5: Solve for x
    x = 90,787,557.12/10,282.40
  6. Step 6: Final answer
    x = 8,829.41

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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.