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Finding the Fourth Proportional to 7,712.90, 10,785.10 and 7,712.90

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Solution

The fourth proportional to 7,712.90, 10,785.10 and 7,712.90 is: 10,785.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,712.90 : 10,785.10 = 7,712.90 : x
  2. Step 2: Convert to fraction form
    7,712.90/10,785.10 = 7,712.90/x
  3. Step 3: Cross multiply
    7,712.90x = 10,785.10 × 7,712.90
  4. Step 4: Simplify right side
    7,712.90x = 83,184,397.79
  5. Step 5: Solve for x
    x = 83,184,397.79/7,712.90
  6. Step 6: Final answer
    x = 10,785.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.