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Finding the Fourth Proportional to 8,742.42, 12,071.64 and 7,127.58

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Solution

The fourth proportional to 8,742.42, 12,071.64 and 7,127.58 is: 9,841.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.42 : 12,071.64 = 7,127.58 : x
  2. Step 2: Convert to fraction form
    8,742.42/12,071.64 = 7,127.58/x
  3. Step 3: Cross multiply
    8,742.42x = 12,071.64 × 7,127.58
  4. Step 4: Simplify right side
    8,742.42x = 86,041,579.83
  5. Step 5: Solve for x
    x = 86,041,579.83/8,742.42
  6. Step 6: Final answer
    x = 9,841.85

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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.