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Finding the Fourth Proportional to 9,710, 14,565 and 4,238

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Solution

The fourth proportional to 9,710, 14,565 and 4,238 is: 6,357

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710 : 14,565 = 4,238 : x
  2. Step 2: Convert to fraction form
    9,710/14,565 = 4,238/x
  3. Step 3: Cross multiply
    9,710x = 14,565 × 4,238
  4. Step 4: Simplify right side
    9,710x = 61,726,470
  5. Step 5: Solve for x
    x = 61,726,470/9,710
  6. Step 6: Final answer
    x = 6,357

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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.