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Finding the Fourth Proportional to 8,984.51, 12,398.75 and 5,156.78

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Solution

The fourth proportional to 8,984.51, 12,398.75 and 5,156.78 is: 7,116.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,984.51 : 12,398.75 = 5,156.78 : x
  2. Step 2: Convert to fraction form
    8,984.51/12,398.75 = 5,156.78/x
  3. Step 3: Cross multiply
    8,984.51x = 12,398.75 × 5,156.78
  4. Step 4: Simplify right side
    8,984.51x = 63,937,576.92
  5. Step 5: Solve for x
    x = 63,937,576.92/8,984.51
  6. Step 6: Final answer
    x = 7,116.43

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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.