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Finding the Fourth Proportional to 9,781.70, 14,672.55 and 3,206.30

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Solution

The fourth proportional to 9,781.70, 14,672.55 and 3,206.30 is: 4,809.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,781.70 : 14,672.55 = 3,206.30 : x
  2. Step 2: Convert to fraction form
    9,781.70/14,672.55 = 3,206.30/x
  3. Step 3: Cross multiply
    9,781.70x = 14,672.55 × 3,206.30
  4. Step 4: Simplify right side
    9,781.70x = 47,044,597.07
  5. Step 5: Solve for x
    x = 47,044,597.07/9,781.70
  6. Step 6: Final answer
    x = 4,809.45

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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.