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Finding the Fourth Proportional to 8,646, 12,971.16 and 2,490

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Solution

The fourth proportional to 8,646, 12,971.16 and 2,490 is: 3,735.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646 : 12,971.16 = 2,490 : x
  2. Step 2: Convert to fraction form
    8,646/12,971.16 = 2,490/x
  3. Step 3: Cross multiply
    8,646x = 12,971.16 × 2,490
  4. Step 4: Simplify right side
    8,646x = 32,298,188.40
  5. Step 5: Solve for x
    x = 32,298,188.40/8,646
  6. Step 6: Final answer
    x = 3,735.62

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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.