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Finding the Fourth Proportional to 7,812.55, 10,780.77 and 4,275.69

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Solution

The fourth proportional to 7,812.55, 10,780.77 and 4,275.69 is: 5,900.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.55 : 10,780.77 = 4,275.69 : x
  2. Step 2: Convert to fraction form
    7,812.55/10,780.77 = 4,275.69/x
  3. Step 3: Cross multiply
    7,812.55x = 10,780.77 × 4,275.69
  4. Step 4: Simplify right side
    7,812.55x = 46,095,230.48
  5. Step 5: Solve for x
    x = 46,095,230.48/7,812.55
  6. Step 6: Final answer
    x = 5,900.15

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Half scale
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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.