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Finding the Fourth Proportional to 10,892, 15,030.72 and 6,644.72

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Solution

The fourth proportional to 10,892, 15,030.72 and 6,644.72 is: 9,169.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,892 : 15,030.72 = 6,644.72 : x
  2. Step 2: Convert to fraction form
    10,892/15,030.72 = 6,644.72/x
  3. Step 3: Cross multiply
    10,892x = 15,030.72 × 6,644.72
  4. Step 4: Simplify right side
    10,892x = 99,874,925.80
  5. Step 5: Solve for x
    x = 99,874,925.80/10,892
  6. Step 6: Final answer
    x = 9,169.57

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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.