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Finding the Fourth Proportional to 9,744.80, 14,584.80 and 8,578.40

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Solution

The fourth proportional to 9,744.80, 14,584.80 and 8,578.40 is: 12,839.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.80 : 14,584.80 = 8,578.40 : x
  2. Step 2: Convert to fraction form
    9,744.80/14,584.80 = 8,578.40/x
  3. Step 3: Cross multiply
    9,744.80x = 14,584.80 × 8,578.40
  4. Step 4: Simplify right side
    9,744.80x = 125,114,248.32
  5. Step 5: Solve for x
    x = 125,114,248.32/9,744.80
  6. Step 6: Final answer
    x = 12,839.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.