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Finding the Fourth Proportional to 19,902, 29,853 and 7,590

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Solution

The fourth proportional to 19,902, 29,853 and 7,590 is: 11,385

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,902 : 29,853 = 7,590 : x
  2. Step 2: Convert to fraction form
    19,902/29,853 = 7,590/x
  3. Step 3: Cross multiply
    19,902x = 29,853 × 7,590
  4. Step 4: Simplify right side
    19,902x = 226,584,270
  5. Step 5: Solve for x
    x = 226,584,270/19,902
  6. Step 6: Final answer
    x = 11,385

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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.