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Finding the Fourth Proportional to 7,812.88, 10,782.30 and 5,155.68

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Solution

The fourth proportional to 7,812.88, 10,782.30 and 5,155.68 is: 7,115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,812.88 : 10,782.30 = 5,155.68 : x
  2. Step 2: Convert to fraction form
    7,812.88/10,782.30 = 5,155.68/x
  3. Step 3: Cross multiply
    7,812.88x = 10,782.30 × 5,155.68
  4. Step 4: Simplify right side
    7,812.88x = 55,590,088.46
  5. Step 5: Solve for x
    x = 55,590,088.46/7,812.88
  6. Step 6: Final answer
    x = 7,115.19

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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.