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Finding the Fourth Proportional to 25,920, 38,885.76 and 9,504

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Solution

The fourth proportional to 25,920, 38,885.76 and 9,504 is: 14,258.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,920 : 38,885.76 = 9,504 : x
  2. Step 2: Convert to fraction form
    25,920/38,885.76 = 9,504/x
  3. Step 3: Cross multiply
    25,920x = 38,885.76 × 9,504
  4. Step 4: Simplify right side
    25,920x = 369,570,263.04
  5. Step 5: Solve for x
    x = 369,570,263.04/25,920
  6. Step 6: Final answer
    x = 14,258.11

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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.