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Finding the Fourth Proportional to 9,360, 12,916.80 and 6,048

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Solution

The fourth proportional to 9,360, 12,916.80 and 6,048 is: 8,346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,360 : 12,916.80 = 6,048 : x
  2. Step 2: Convert to fraction form
    9,360/12,916.80 = 6,048/x
  3. Step 3: Cross multiply
    9,360x = 12,916.80 × 6,048
  4. Step 4: Simplify right side
    9,360x = 78,120,806.40
  5. Step 5: Solve for x
    x = 78,120,806.40/9,360
  6. Step 6: Final answer
    x = 8,346.24

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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.