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Finding the Fourth Proportional to 10,980.90, 15,153.65 and 5,945.16

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Solution

The fourth proportional to 10,980.90, 15,153.65 and 5,945.16 is: 8,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,980.90 : 15,153.65 = 5,945.16 : x
  2. Step 2: Convert to fraction form
    10,980.90/15,153.65 = 5,945.16/x
  3. Step 3: Cross multiply
    10,980.90x = 15,153.65 × 5,945.16
  4. Step 4: Simplify right side
    10,980.90x = 90,090,923.23
  5. Step 5: Solve for x
    x = 90,090,923.23/10,980.90
  6. Step 6: Final answer
    x = 8,204.33

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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.