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Finding the Fourth Proportional to 9,606.64, 13,265.04 and 9,117.40

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Solution

The fourth proportional to 9,606.64, 13,265.04 and 9,117.40 is: 12,589.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.64 : 13,265.04 = 9,117.40 : x
  2. Step 2: Convert to fraction form
    9,606.64/13,265.04 = 9,117.40/x
  3. Step 3: Cross multiply
    9,606.64x = 13,265.04 × 9,117.40
  4. Step 4: Simplify right side
    9,606.64x = 120,942,675.70
  5. Step 5: Solve for x
    x = 120,942,675.70/9,606.64
  6. Step 6: Final answer
    x = 12,589.49

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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.