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Finding the Fourth Proportional to 9,014, 13,521 and 2,858

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Solution

The fourth proportional to 9,014, 13,521 and 2,858 is: 4,287

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014 : 13,521 = 2,858 : x
  2. Step 2: Convert to fraction form
    9,014/13,521 = 2,858/x
  3. Step 3: Cross multiply
    9,014x = 13,521 × 2,858
  4. Step 4: Simplify right side
    9,014x = 38,643,018
  5. Step 5: Solve for x
    x = 38,643,018/9,014
  6. Step 6: Final answer
    x = 4,287

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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.