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Finding the Fourth Proportional to 8,742.72, 13,117.80 and 4,842.72

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Solution

The fourth proportional to 8,742.72, 13,117.80 and 4,842.72 is: 7,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,742.72 : 13,117.80 = 4,842.72 : x
  2. Step 2: Convert to fraction form
    8,742.72/13,117.80 = 4,842.72/x
  3. Step 3: Cross multiply
    8,742.72x = 13,117.80 × 4,842.72
  4. Step 4: Simplify right side
    8,742.72x = 63,525,832.42
  5. Step 5: Solve for x
    x = 63,525,832.42/8,742.72
  6. Step 6: Final answer
    x = 7,266.14

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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.