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Finding the Fourth Proportional to 7,862.96, 10,851.12 and 4,506.84

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Solution

The fourth proportional to 7,862.96, 10,851.12 and 4,506.84 is: 6,219.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,862.96 : 10,851.12 = 4,506.84 : x
  2. Step 2: Convert to fraction form
    7,862.96/10,851.12 = 4,506.84/x
  3. Step 3: Cross multiply
    7,862.96x = 10,851.12 × 4,506.84
  4. Step 4: Simplify right side
    7,862.96x = 48,904,261.66
  5. Step 5: Solve for x
    x = 48,904,261.66/7,862.96
  6. Step 6: Final answer
    x = 6,219.57

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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.