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Finding the Fourth Proportional to 7,748, 10,697.76 and 4,767.80

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Solution

The fourth proportional to 7,748, 10,697.76 and 4,767.80 is: 6,582.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748 : 10,697.76 = 4,767.80 : x
  2. Step 2: Convert to fraction form
    7,748/10,697.76 = 4,767.80/x
  3. Step 3: Cross multiply
    7,748x = 10,697.76 × 4,767.80
  4. Step 4: Simplify right side
    7,748x = 51,004,780.13
  5. Step 5: Solve for x
    x = 51,004,780.13/7,748
  6. Step 6: Final answer
    x = 6,582.96

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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.