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Finding the Fourth Proportional to 19,870.64, 29,806 and 5,079.04

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Solution

The fourth proportional to 19,870.64, 29,806 and 5,079.04 is: 7,618.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,870.64 : 29,806 = 5,079.04 : x
  2. Step 2: Convert to fraction form
    19,870.64/29,806 = 5,079.04/x
  3. Step 3: Cross multiply
    19,870.64x = 29,806 × 5,079.04
  4. Step 4: Simplify right side
    19,870.64x = 151,385,866.24
  5. Step 5: Solve for x
    x = 151,385,866.24/19,870.64
  6. Step 6: Final answer
    x = 7,618.57

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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.