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Finding the Fourth Proportional to 10,902.78, 15,045.06 and 6,187.80

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Solution

The fourth proportional to 10,902.78, 15,045.06 and 6,187.80 is: 8,538.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.78 : 15,045.06 = 6,187.80 : x
  2. Step 2: Convert to fraction form
    10,902.78/15,045.06 = 6,187.80/x
  3. Step 3: Cross multiply
    10,902.78x = 15,045.06 × 6,187.80
  4. Step 4: Simplify right side
    10,902.78x = 93,095,822.27
  5. Step 5: Solve for x
    x = 93,095,822.27/10,902.78
  6. Step 6: Final answer
    x = 8,538.72

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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.