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Finding the Fourth Proportional to 7,644.71, 10,548.09 and 5,130

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Solution

The fourth proportional to 7,644.71, 10,548.09 and 5,130 is: 7,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.71 : 10,548.09 = 5,130 : x
  2. Step 2: Convert to fraction form
    7,644.71/10,548.09 = 5,130/x
  3. Step 3: Cross multiply
    7,644.71x = 10,548.09 × 5,130
  4. Step 4: Simplify right side
    7,644.71x = 54,111,701.70
  5. Step 5: Solve for x
    x = 54,111,701.70/7,644.71
  6. Step 6: Final answer
    x = 7,078.32

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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.