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Finding the Fourth Proportional to 10,800, 16,102.98 and 10,603.17

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Solution

The fourth proportional to 10,800, 16,102.98 and 10,603.17 is: 15,809.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,800 : 16,102.98 = 10,603.17 : x
  2. Step 2: Convert to fraction form
    10,800/16,102.98 = 10,603.17/x
  3. Step 3: Cross multiply
    10,800x = 16,102.98 × 10,603.17
  4. Step 4: Simplify right side
    10,800x = 170,742,634.45
  5. Step 5: Solve for x
    x = 170,742,634.45/10,800
  6. Step 6: Final answer
    x = 15,809.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.