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Finding the Fourth Proportional to 9,113.86, 12,578.04 and 5,579.40

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Solution

The fourth proportional to 9,113.86, 12,578.04 and 5,579.40 is: 7,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.86 : 12,578.04 = 5,579.40 : x
  2. Step 2: Convert to fraction form
    9,113.86/12,578.04 = 5,579.40/x
  3. Step 3: Cross multiply
    9,113.86x = 12,578.04 × 5,579.40
  4. Step 4: Simplify right side
    9,113.86x = 70,177,916.38
  5. Step 5: Solve for x
    x = 70,177,916.38/9,113.86
  6. Step 6: Final answer
    x = 7,700.13

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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.