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Finding the Fourth Proportional to 15,878.40, 23,801.40 and 9,301.20

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Solution

The fourth proportional to 15,878.40, 23,801.40 and 9,301.20 is: 13,942.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,878.40 : 23,801.40 = 9,301.20 : x
  2. Step 2: Convert to fraction form
    15,878.40/23,801.40 = 9,301.20/x
  3. Step 3: Cross multiply
    15,878.40x = 23,801.40 × 9,301.20
  4. Step 4: Simplify right side
    15,878.40x = 221,381,581.68
  5. Step 5: Solve for x
    x = 221,381,581.68/15,878.40
  6. Step 6: Final answer
    x = 13,942.31

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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.