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Finding the Fourth Proportional to 7,748.59, 10,690.10 and 4,763.47

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Solution

The fourth proportional to 7,748.59, 10,690.10 and 4,763.47 is: 6,571.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,748.59 : 10,690.10 = 4,763.47 : x
  2. Step 2: Convert to fraction form
    7,748.59/10,690.10 = 4,763.47/x
  3. Step 3: Cross multiply
    7,748.59x = 10,690.10 × 4,763.47
  4. Step 4: Simplify right side
    7,748.59x = 50,921,946.83
  5. Step 5: Solve for x
    x = 50,921,946.83/7,748.59
  6. Step 6: Final answer
    x = 6,571.77

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1.5x scale

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.