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Finding the Fourth Proportional to 10,971.40, 16,424.70 and 9,675.40

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Solution

The fourth proportional to 10,971.40, 16,424.70 and 9,675.40 is: 14,484.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,971.40 : 16,424.70 = 9,675.40 : x
  2. Step 2: Convert to fraction form
    10,971.40/16,424.70 = 9,675.40/x
  3. Step 3: Cross multiply
    10,971.40x = 16,424.70 × 9,675.40
  4. Step 4: Simplify right side
    10,971.40x = 158,915,542.38
  5. Step 5: Solve for x
    x = 158,915,542.38/10,971.40
  6. Step 6: Final answer
    x = 14,484.53

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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.