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Finding the Fourth Proportional to 19,271.12, 28,902 and 8,178.08

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Solution

The fourth proportional to 19,271.12, 28,902 and 8,178.08 is: 12,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,271.12 : 28,902 = 8,178.08 : x
  2. Step 2: Convert to fraction form
    19,271.12/28,902 = 8,178.08/x
  3. Step 3: Cross multiply
    19,271.12x = 28,902 × 8,178.08
  4. Step 4: Simplify right side
    19,271.12x = 236,362,868.16
  5. Step 5: Solve for x
    x = 236,362,868.16/19,271.12
  6. Step 6: Final answer
    x = 12,265.13

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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.