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Finding the Fourth Proportional to 7,881.76, 10,878 and 4,738.72

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Solution

The fourth proportional to 7,881.76, 10,878 and 4,738.72 is: 6,540.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,881.76 : 10,878 = 4,738.72 : x
  2. Step 2: Convert to fraction form
    7,881.76/10,878 = 4,738.72/x
  3. Step 3: Cross multiply
    7,881.76x = 10,878 × 4,738.72
  4. Step 4: Simplify right side
    7,881.76x = 51,547,796.16
  5. Step 5: Solve for x
    x = 51,547,796.16/7,881.76
  6. Step 6: Final answer
    x = 6,540.14

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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.