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Finding the Fourth Proportional to 9,105.78, 12,547.50 and 6,981.36

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Solution

The fourth proportional to 9,105.78, 12,547.50 and 6,981.36 is: 9,620.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.78 : 12,547.50 = 6,981.36 : x
  2. Step 2: Convert to fraction form
    9,105.78/12,547.50 = 6,981.36/x
  3. Step 3: Cross multiply
    9,105.78x = 12,547.50 × 6,981.36
  4. Step 4: Simplify right side
    9,105.78x = 87,598,614.60
  5. Step 5: Solve for x
    x = 87,598,614.60/9,105.78
  6. Step 6: Final answer
    x = 9,620.11

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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.