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Finding the Fourth Proportional to 11,430.66, 15,765.59 and 9,839.93

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Solution

The fourth proportional to 11,430.66, 15,765.59 and 9,839.93 is: 13,571.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,430.66 : 15,765.59 = 9,839.93 : x
  2. Step 2: Convert to fraction form
    11,430.66/15,765.59 = 9,839.93/x
  3. Step 3: Cross multiply
    11,430.66x = 15,765.59 × 9,839.93
  4. Step 4: Simplify right side
    11,430.66x = 155,132,247.78
  5. Step 5: Solve for x
    x = 155,132,247.78/11,430.66
  6. Step 6: Final answer
    x = 13,571.59

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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.