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Finding the Fourth Proportional to 11,309.67, 15,570.95 and 9,713.16

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Solution

The fourth proportional to 11,309.67, 15,570.95 and 9,713.16 is: 13,372.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,309.67 : 15,570.95 = 9,713.16 : x
  2. Step 2: Convert to fraction form
    11,309.67/15,570.95 = 9,713.16/x
  3. Step 3: Cross multiply
    11,309.67x = 15,570.95 × 9,713.16
  4. Step 4: Simplify right side
    11,309.67x = 151,243,080.14
  5. Step 5: Solve for x
    x = 151,243,080.14/11,309.67
  6. Step 6: Final answer
    x = 13,372.90

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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.