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Finding the Fourth Proportional to 11,315.90, 15,622.47 and 9,839.68

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Solution

The fourth proportional to 11,315.90, 15,622.47 and 9,839.68 is: 13,584.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,315.90 : 15,622.47 = 9,839.68 : x
  2. Step 2: Convert to fraction form
    11,315.90/15,622.47 = 9,839.68/x
  3. Step 3: Cross multiply
    11,315.90x = 15,622.47 × 9,839.68
  4. Step 4: Simplify right side
    11,315.90x = 153,720,066.55
  5. Step 5: Solve for x
    x = 153,720,066.55/11,315.90
  6. Step 6: Final answer
    x = 13,584.43

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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.