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Finding the Fourth Proportional to 18,902, 28,353.24 and 6,590

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Solution

The fourth proportional to 18,902, 28,353.24 and 6,590 is: 9,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,902 : 28,353.24 = 6,590 : x
  2. Step 2: Convert to fraction form
    18,902/28,353.24 = 6,590/x
  3. Step 3: Cross multiply
    18,902x = 28,353.24 × 6,590
  4. Step 4: Simplify right side
    18,902x = 186,847,851.60
  5. Step 5: Solve for x
    x = 186,847,851.60/18,902
  6. Step 6: Final answer
    x = 9,885.08

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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.