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Finding the Fourth Proportional to 10,312, 15,469.22 and 3,386.50

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Solution

The fourth proportional to 10,312, 15,469.22 and 3,386.50 is: 5,080.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,312 : 15,469.22 = 3,386.50 : x
  2. Step 2: Convert to fraction form
    10,312/15,469.22 = 3,386.50/x
  3. Step 3: Cross multiply
    10,312x = 15,469.22 × 3,386.50
  4. Step 4: Simplify right side
    10,312x = 52,386,513.53
  5. Step 5: Solve for x
    x = 52,386,513.53/10,312
  6. Step 6: Final answer
    x = 5,080.15

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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.