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Finding the Fourth Proportional to 21,780.84, 32,674.16 and 6,984.84

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Solution

The fourth proportional to 21,780.84, 32,674.16 and 6,984.84 is: 10,478.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,780.84 : 32,674.16 = 6,984.84 : x
  2. Step 2: Convert to fraction form
    21,780.84/32,674.16 = 6,984.84/x
  3. Step 3: Cross multiply
    21,780.84x = 32,674.16 × 6,984.84
  4. Step 4: Simplify right side
    21,780.84x = 228,223,779.73
  5. Step 5: Solve for x
    x = 228,223,779.73/21,780.84
  6. Step 6: Final answer
    x = 10,478.19

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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.