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Finding the Fourth Proportional to 7,776.70, 10,731.86 and 4,239.93

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Solution

The fourth proportional to 7,776.70, 10,731.86 and 4,239.93 is: 5,851.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.70 : 10,731.86 = 4,239.93 : x
  2. Step 2: Convert to fraction form
    7,776.70/10,731.86 = 4,239.93/x
  3. Step 3: Cross multiply
    7,776.70x = 10,731.86 × 4,239.93
  4. Step 4: Simplify right side
    7,776.70x = 45,502,335.17
  5. Step 5: Solve for x
    x = 45,502,335.17/7,776.70
  6. Step 6: Final answer
    x = 5,851.11

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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.