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Finding the Fourth Proportional to 10,955.86, 15,124.02 and 6,982.30

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Solution

The fourth proportional to 10,955.86, 15,124.02 and 6,982.30 is: 9,638.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.86 : 15,124.02 = 6,982.30 : x
  2. Step 2: Convert to fraction form
    10,955.86/15,124.02 = 6,982.30/x
  3. Step 3: Cross multiply
    10,955.86x = 15,124.02 × 6,982.30
  4. Step 4: Simplify right side
    10,955.86x = 105,600,437.57
  5. Step 5: Solve for x
    x = 105,600,437.57/10,955.86
  6. Step 6: Final answer
    x = 9,638.72

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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.