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Finding the Fourth Proportional to 10,938, 15,094.98 and 6,222.72

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Solution

The fourth proportional to 10,938, 15,094.98 and 6,222.72 is: 8,587.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,938 : 15,094.98 = 6,222.72 : x
  2. Step 2: Convert to fraction form
    10,938/15,094.98 = 6,222.72/x
  3. Step 3: Cross multiply
    10,938x = 15,094.98 × 6,222.72
  4. Step 4: Simplify right side
    10,938x = 93,931,833.95
  5. Step 5: Solve for x
    x = 93,931,833.95/10,938
  6. Step 6: Final answer
    x = 8,587.66

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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.