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Finding the Fourth Proportional to 10,981.90, 15,154.06 and 6,504.90

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Solution

The fourth proportional to 10,981.90, 15,154.06 and 6,504.90 is: 8,976.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981.90 : 15,154.06 = 6,504.90 : x
  2. Step 2: Convert to fraction form
    10,981.90/15,154.06 = 6,504.90/x
  3. Step 3: Cross multiply
    10,981.90x = 15,154.06 × 6,504.90
  4. Step 4: Simplify right side
    10,981.90x = 98,575,644.89
  5. Step 5: Solve for x
    x = 98,575,644.89/10,981.90
  6. Step 6: Final answer
    x = 8,976.19

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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.