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Finding the Fourth Proportional to 9,675.40, 13,231.97 and 9,416.20

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Solution

The fourth proportional to 9,675.40, 13,231.97 and 9,416.20 is: 12,877.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,675.40 : 13,231.97 = 9,416.20 : x
  2. Step 2: Convert to fraction form
    9,675.40/13,231.97 = 9,416.20/x
  3. Step 3: Cross multiply
    9,675.40x = 13,231.97 × 9,416.20
  4. Step 4: Simplify right side
    9,675.40x = 124,594,875.91
  5. Step 5: Solve for x
    x = 124,594,875.91/9,675.40
  6. Step 6: Final answer
    x = 12,877.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.