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Finding the Fourth Proportional to 20,980.50, 28,953.12 and 11,549.40

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Solution

The fourth proportional to 20,980.50, 28,953.12 and 11,549.40 is: 15,938.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,980.50 : 28,953.12 = 11,549.40 : x
  2. Step 2: Convert to fraction form
    20,980.50/28,953.12 = 11,549.40/x
  3. Step 3: Cross multiply
    20,980.50x = 28,953.12 × 11,549.40
  4. Step 4: Simplify right side
    20,980.50x = 334,391,164.13
  5. Step 5: Solve for x
    x = 334,391,164.13/20,980.50
  6. Step 6: Final answer
    x = 15,938.19

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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.