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Finding the Fourth Proportional to 9,348.59, 12,900.16 and 5,156.57

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Solution

The fourth proportional to 9,348.59, 12,900.16 and 5,156.57 is: 7,115.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.59 : 12,900.16 = 5,156.57 : x
  2. Step 2: Convert to fraction form
    9,348.59/12,900.16 = 5,156.57/x
  3. Step 3: Cross multiply
    9,348.59x = 12,900.16 × 5,156.57
  4. Step 4: Simplify right side
    9,348.59x = 66,520,616.75
  5. Step 5: Solve for x
    x = 66,520,616.75/9,348.59
  6. Step 6: Final answer
    x = 7,115.58

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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.