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Finding the Fourth Proportional to 8,670.72, 13,008 and 4,773.12

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Solution

The fourth proportional to 8,670.72, 13,008 and 4,773.12 is: 7,160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,670.72 : 13,008 = 4,773.12 : x
  2. Step 2: Convert to fraction form
    8,670.72/13,008 = 4,773.12/x
  3. Step 3: Cross multiply
    8,670.72x = 13,008 × 4,773.12
  4. Step 4: Simplify right side
    8,670.72x = 62,088,744.96
  5. Step 5: Solve for x
    x = 62,088,744.96/8,670.72
  6. Step 6: Final answer
    x = 7,160.74

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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.