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Finding the Fourth Proportional to 10,687.84, 14,745.28 and 6,707.50

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Solution

The fourth proportional to 10,687.84, 14,745.28 and 6,707.50 is: 9,253.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.84 : 14,745.28 = 6,707.50 : x
  2. Step 2: Convert to fraction form
    10,687.84/14,745.28 = 6,707.50/x
  3. Step 3: Cross multiply
    10,687.84x = 14,745.28 × 6,707.50
  4. Step 4: Simplify right side
    10,687.84x = 98,903,965.60
  5. Step 5: Solve for x
    x = 98,903,965.60/10,687.84
  6. Step 6: Final answer
    x = 9,253.88

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1.5x scale

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.