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Finding the Fourth Proportional to 8,672, 13,005.82 and 2,430.40

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Solution

The fourth proportional to 8,672, 13,005.82 and 2,430.40 is: 3,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672 : 13,005.82 = 2,430.40 : x
  2. Step 2: Convert to fraction form
    8,672/13,005.82 = 2,430.40/x
  3. Step 3: Cross multiply
    8,672x = 13,005.82 × 2,430.40
  4. Step 4: Simplify right side
    8,672x = 31,609,344.93
  5. Step 5: Solve for x
    x = 31,609,344.93/8,672
  6. Step 6: Final answer
    x = 3,644.99

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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.