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Finding the Fourth Proportional to 10,502.49, 15,751.46 and 6,742.98

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Solution

The fourth proportional to 10,502.49, 15,751.46 and 6,742.98 is: 10,113.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.49 : 15,751.46 = 6,742.98 : x
  2. Step 2: Convert to fraction form
    10,502.49/15,751.46 = 6,742.98/x
  3. Step 3: Cross multiply
    10,502.49x = 15,751.46 × 6,742.98
  4. Step 4: Simplify right side
    10,502.49x = 106,211,796.61
  5. Step 5: Solve for x
    x = 106,211,796.61/10,502.49
  6. Step 6: Final answer
    x = 10,113.01

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1.5x scale

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.