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Finding the Fourth Proportional to 5,130.57, 7,076.16 and 3,714.47

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Solution

The fourth proportional to 5,130.57, 7,076.16 and 3,714.47 is: 5,123.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,130.57 : 7,076.16 = 3,714.47 : x
  2. Step 2: Convert to fraction form
    5,130.57/7,076.16 = 3,714.47/x
  3. Step 3: Cross multiply
    5,130.57x = 7,076.16 × 3,714.47
  4. Step 4: Simplify right side
    5,130.57x = 26,284,148.65
  5. Step 5: Solve for x
    x = 26,284,148.65/5,130.57
  6. Step 6: Final answer
    x = 5,123.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.