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Finding the Fourth Proportional to 19,869.16, 29,803.68 and 5,078.08

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Solution

The fourth proportional to 19,869.16, 29,803.68 and 5,078.08 is: 7,617.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,869.16 : 29,803.68 = 5,078.08 : x
  2. Step 2: Convert to fraction form
    19,869.16/29,803.68 = 5,078.08/x
  3. Step 3: Cross multiply
    19,869.16x = 29,803.68 × 5,078.08
  4. Step 4: Simplify right side
    19,869.16x = 151,345,471.33
  5. Step 5: Solve for x
    x = 151,345,471.33/19,869.16
  6. Step 6: Final answer
    x = 7,617.10

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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.