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Finding the Fourth Proportional to 9,963.28, 13,748.97 and 6,430.06

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Solution

The fourth proportional to 9,963.28, 13,748.97 and 6,430.06 is: 8,873.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.28 : 13,748.97 = 6,430.06 : x
  2. Step 2: Convert to fraction form
    9,963.28/13,748.97 = 6,430.06/x
  3. Step 3: Cross multiply
    9,963.28x = 13,748.97 × 6,430.06
  4. Step 4: Simplify right side
    9,963.28x = 88,406,702.04
  5. Step 5: Solve for x
    x = 88,406,702.04/9,963.28
  6. Step 6: Final answer
    x = 8,873.25

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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.