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Finding the Fourth Proportional to 10,866, 14,995.08 and 5,898

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Solution

The fourth proportional to 10,866, 14,995.08 and 5,898 is: 8,139.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866 : 14,995.08 = 5,898 : x
  2. Step 2: Convert to fraction form
    10,866/14,995.08 = 5,898/x
  3. Step 3: Cross multiply
    10,866x = 14,995.08 × 5,898
  4. Step 4: Simplify right side
    10,866x = 88,440,981.84
  5. Step 5: Solve for x
    x = 88,440,981.84/10,866
  6. Step 6: Final answer
    x = 8,139.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.