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Finding the Fourth Proportional to 7,712.90, 10,644 and 4,567.28

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Solution

The fourth proportional to 7,712.90, 10,644 and 4,567.28 is: 6,302.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.90 : 10,644 = 4,567.28 : x
  2. Step 2: Convert to fraction form
    7,712.90/10,644 = 4,567.28/x
  3. Step 3: Cross multiply
    7,712.90x = 10,644 × 4,567.28
  4. Step 4: Simplify right side
    7,712.90x = 48,614,128.32
  5. Step 5: Solve for x
    x = 48,614,128.32/7,712.90
  6. Step 6: Final answer
    x = 6,302.96

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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.