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Finding the Fourth Proportional to 4,871.32, 6,718.62 and 2,981.32

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Solution

The fourth proportional to 4,871.32, 6,718.62 and 2,981.32 is: 4,111.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,871.32 : 6,718.62 = 2,981.32 : x
  2. Step 2: Convert to fraction form
    4,871.32/6,718.62 = 2,981.32/x
  3. Step 3: Cross multiply
    4,871.32x = 6,718.62 × 2,981.32
  4. Step 4: Simplify right side
    4,871.32x = 20,030,356.18
  5. Step 5: Solve for x
    x = 20,030,356.18/4,871.32
  6. Step 6: Final answer
    x = 4,111.89

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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.