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Finding the Fourth Proportional to 10,205.40, 15,278.90 and 6,283.40

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Solution

The fourth proportional to 10,205.40, 15,278.90 and 6,283.40 is: 9,407.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.40 : 15,278.90 = 6,283.40 : x
  2. Step 2: Convert to fraction form
    10,205.40/15,278.90 = 6,283.40/x
  3. Step 3: Cross multiply
    10,205.40x = 15,278.90 × 6,283.40
  4. Step 4: Simplify right side
    10,205.40x = 96,003,440.26
  5. Step 5: Solve for x
    x = 96,003,440.26/10,205.40
  6. Step 6: Final answer
    x = 9,407.12

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1.5x scale

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.