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Finding the Fourth Proportional to 7,657.84, 10,567.55 and 4,678.66

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Solution

The fourth proportional to 7,657.84, 10,567.55 and 4,678.66 is: 6,456.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.84 : 10,567.55 = 4,678.66 : x
  2. Step 2: Convert to fraction form
    7,657.84/10,567.55 = 4,678.66/x
  3. Step 3: Cross multiply
    7,657.84x = 10,567.55 × 4,678.66
  4. Step 4: Simplify right side
    7,657.84x = 49,441,897.25
  5. Step 5: Solve for x
    x = 49,441,897.25/7,657.84
  6. Step 6: Final answer
    x = 6,456.38

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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.