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Finding the Fourth Proportional to 31,158, 46,737 and 9,270

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Solution

The fourth proportional to 31,158, 46,737 and 9,270 is: 13,905

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,158 : 46,737 = 9,270 : x
  2. Step 2: Convert to fraction form
    31,158/46,737 = 9,270/x
  3. Step 3: Cross multiply
    31,158x = 46,737 × 9,270
  4. Step 4: Simplify right side
    31,158x = 433,251,990
  5. Step 5: Solve for x
    x = 433,251,990/31,158
  6. Step 6: Final answer
    x = 13,905

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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.