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Finding the Fourth Proportional to 15,999.40, 23,966.70 and 9,065.80

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Solution

The fourth proportional to 15,999.40, 23,966.70 and 9,065.80 is: 13,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,999.40 : 23,966.70 = 9,065.80 : x
  2. Step 2: Convert to fraction form
    15,999.40/23,966.70 = 9,065.80/x
  3. Step 3: Cross multiply
    15,999.40x = 23,966.70 × 9,065.80
  4. Step 4: Simplify right side
    15,999.40x = 217,277,308.86
  5. Step 5: Solve for x
    x = 217,277,308.86/15,999.40
  6. Step 6: Final answer
    x = 13,580.34

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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.