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Finding the Fourth Proportional to 7,911.42, 11,866.98 and 2,364.78

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Solution

The fourth proportional to 7,911.42, 11,866.98 and 2,364.78 is: 3,547.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.42 : 11,866.98 = 2,364.78 : x
  2. Step 2: Convert to fraction form
    7,911.42/11,866.98 = 2,364.78/x
  3. Step 3: Cross multiply
    7,911.42x = 11,866.98 × 2,364.78
  4. Step 4: Simplify right side
    7,911.42x = 28,062,796.96
  5. Step 5: Solve for x
    x = 28,062,796.96/7,911.42
  6. Step 6: Final answer
    x = 3,547.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.