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Finding the Fourth Proportional to 7,887.81, 10,886.43 and 4,864.71

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Solution

The fourth proportional to 7,887.81, 10,886.43 and 4,864.71 is: 6,714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.81 : 10,886.43 = 4,864.71 : x
  2. Step 2: Convert to fraction form
    7,887.81/10,886.43 = 4,864.71/x
  3. Step 3: Cross multiply
    7,887.81x = 10,886.43 × 4,864.71
  4. Step 4: Simplify right side
    7,887.81x = 52,959,324.89
  5. Step 5: Solve for x
    x = 52,959,324.89/7,887.81
  6. Step 6: Final answer
    x = 6,714.07

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1.5x scale

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.