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Finding the Fourth Proportional to 9,830.40, 13,478.40 and 9,676.80

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Solution

The fourth proportional to 9,830.40, 13,478.40 and 9,676.80 is: 13,267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,830.40 : 13,478.40 = 9,676.80 : x
  2. Step 2: Convert to fraction form
    9,830.40/13,478.40 = 9,676.80/x
  3. Step 3: Cross multiply
    9,830.40x = 13,478.40 × 9,676.80
  4. Step 4: Simplify right side
    9,830.40x = 130,427,781.12
  5. Step 5: Solve for x
    x = 130,427,781.12/9,830.40
  6. Step 6: Final answer
    x = 13,267.80

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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.