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Finding the Fourth Proportional to 7,762, 10,711.56 and 4,967.68

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Solution

The fourth proportional to 7,762, 10,711.56 and 4,967.68 is: 6,855.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762 : 10,711.56 = 4,967.68 : x
  2. Step 2: Convert to fraction form
    7,762/10,711.56 = 4,967.68/x
  3. Step 3: Cross multiply
    7,762x = 10,711.56 × 4,967.68
  4. Step 4: Simplify right side
    7,762x = 53,211,602.38
  5. Step 5: Solve for x
    x = 53,211,602.38/7,762
  6. Step 6: Final answer
    x = 6,855.40

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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.