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Finding the Fourth Proportional to 8,770, 12,102.60 and 5,044

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Solution

The fourth proportional to 8,770, 12,102.60 and 5,044 is: 6,960.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,770 : 12,102.60 = 5,044 : x
  2. Step 2: Convert to fraction form
    8,770/12,102.60 = 5,044/x
  3. Step 3: Cross multiply
    8,770x = 12,102.60 × 5,044
  4. Step 4: Simplify right side
    8,770x = 61,045,514.40
  5. Step 5: Solve for x
    x = 61,045,514.40/8,770
  6. Step 6: Final answer
    x = 6,960.72

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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.