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Finding the Fourth Proportional to 21,062.65, 31,568.85 and 9,802.84

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Solution

The fourth proportional to 21,062.65, 31,568.85 and 9,802.84 is: 14,692.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.65 : 31,568.85 = 9,802.84 : x
  2. Step 2: Convert to fraction form
    21,062.65/31,568.85 = 9,802.84/x
  3. Step 3: Cross multiply
    21,062.65x = 31,568.85 × 9,802.84
  4. Step 4: Simplify right side
    21,062.65x = 309,464,385.53
  5. Step 5: Solve for x
    x = 309,464,385.53/21,062.65
  6. Step 6: Final answer
    x = 14,692.57

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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.