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Finding the Fourth Proportional to 11,207.10, 16,810.65 and 7,707.90

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Solution

The fourth proportional to 11,207.10, 16,810.65 and 7,707.90 is: 11,561.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,207.10 : 16,810.65 = 7,707.90 : x
  2. Step 2: Convert to fraction form
    11,207.10/16,810.65 = 7,707.90/x
  3. Step 3: Cross multiply
    11,207.10x = 16,810.65 × 7,707.90
  4. Step 4: Simplify right side
    11,207.10x = 129,574,809.14
  5. Step 5: Solve for x
    x = 129,574,809.14/11,207.10
  6. Step 6: Final answer
    x = 11,561.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.