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Finding the Fourth Proportional to 9,947.63, 13,729.06 and 6,421.12

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Solution

The fourth proportional to 9,947.63, 13,729.06 and 6,421.12 is: 8,862.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.63 : 13,729.06 = 6,421.12 : x
  2. Step 2: Convert to fraction form
    9,947.63/13,729.06 = 6,421.12/x
  3. Step 3: Cross multiply
    9,947.63x = 13,729.06 × 6,421.12
  4. Step 4: Simplify right side
    9,947.63x = 88,155,915.45
  5. Step 5: Solve for x
    x = 88,155,915.45/9,947.63
  6. Step 6: Final answer
    x = 8,862.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.