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Finding the Fourth Proportional to 5,279.44, 7,916.72 and 1,580.72

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Solution

The fourth proportional to 5,279.44, 7,916.72 and 1,580.72 is: 2,370.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,279.44 : 7,916.72 = 1,580.72 : x
  2. Step 2: Convert to fraction form
    5,279.44/7,916.72 = 1,580.72/x
  3. Step 3: Cross multiply
    5,279.44x = 7,916.72 × 1,580.72
  4. Step 4: Simplify right side
    5,279.44x = 12,514,117.64
  5. Step 5: Solve for x
    x = 12,514,117.64/5,279.44
  6. Step 6: Final answer
    x = 2,370.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.