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Finding the Fourth Proportional to 5,670.65, 8,490 and 4,279.57

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Solution

The fourth proportional to 5,670.65, 8,490 and 4,279.57 is: 6,407.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,670.65 : 8,490 = 4,279.57 : x
  2. Step 2: Convert to fraction form
    5,670.65/8,490 = 4,279.57/x
  3. Step 3: Cross multiply
    5,670.65x = 8,490 × 4,279.57
  4. Step 4: Simplify right side
    5,670.65x = 36,333,506.85
  5. Step 5: Solve for x
    x = 36,333,506.85/5,670.65
  6. Step 6: Final answer
    x = 6,407.29

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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.