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Finding the Fourth Proportional to 7,851.77, 11,779.28 and 2,587.10

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Solution

The fourth proportional to 7,851.77, 11,779.28 and 2,587.10 is: 3,881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.77 : 11,779.28 = 2,587.10 : x
  2. Step 2: Convert to fraction form
    7,851.77/11,779.28 = 2,587.10/x
  3. Step 3: Cross multiply
    7,851.77x = 11,779.28 × 2,587.10
  4. Step 4: Simplify right side
    7,851.77x = 30,474,175.29
  5. Step 5: Solve for x
    x = 30,474,175.29/7,851.77
  6. Step 6: Final answer
    x = 3,881.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.