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Finding the Fourth Proportional to 15,806.40, 23,693.40 and 9,229.20

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Solution

The fourth proportional to 15,806.40, 23,693.40 and 9,229.20 is: 13,834.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,806.40 : 23,693.40 = 9,229.20 : x
  2. Step 2: Convert to fraction form
    15,806.40/23,693.40 = 9,229.20/x
  3. Step 3: Cross multiply
    15,806.40x = 23,693.40 × 9,229.20
  4. Step 4: Simplify right side
    15,806.40x = 218,671,127.28
  5. Step 5: Solve for x
    x = 218,671,127.28/15,806.40
  6. Step 6: Final answer
    x = 13,834.34

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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.