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Finding the Fourth Proportional to 9,351.68, 12,904.68 and 5,160

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Solution

The fourth proportional to 9,351.68, 12,904.68 and 5,160 is: 7,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.68 : 12,904.68 = 5,160 : x
  2. Step 2: Convert to fraction form
    9,351.68/12,904.68 = 5,160/x
  3. Step 3: Cross multiply
    9,351.68x = 12,904.68 × 5,160
  4. Step 4: Simplify right side
    9,351.68x = 66,588,148.80
  5. Step 5: Solve for x
    x = 66,588,148.80/9,351.68
  6. Step 6: Final answer
    x = 7,120.45

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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.