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Finding the Fourth Proportional to 7,812.35, 10,780.99 and 4,275.48

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Solution

The fourth proportional to 7,812.35, 10,780.99 and 4,275.48 is: 5,900.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.35 : 10,780.99 = 4,275.48 : x
  2. Step 2: Convert to fraction form
    7,812.35/10,780.99 = 4,275.48/x
  3. Step 3: Cross multiply
    7,812.35x = 10,780.99 × 4,275.48
  4. Step 4: Simplify right side
    7,812.35x = 46,093,907.13
  5. Step 5: Solve for x
    x = 46,093,907.13/7,812.35
  6. Step 6: Final answer
    x = 5,900.13

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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.