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Finding the Fourth Proportional to 9,348, 12,900.24 and 5,156.40

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Solution

The fourth proportional to 9,348, 12,900.24 and 5,156.40 is: 7,115.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348 : 12,900.24 = 5,156.40 : x
  2. Step 2: Convert to fraction form
    9,348/12,900.24 = 5,156.40/x
  3. Step 3: Cross multiply
    9,348x = 12,900.24 × 5,156.40
  4. Step 4: Simplify right side
    9,348x = 66,518,797.54
  5. Step 5: Solve for x
    x = 66,518,797.54/9,348
  6. Step 6: Final answer
    x = 7,115.83

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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.