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Finding the Fourth Proportional to 10,852.80, 16,246.80 and 9,686.40

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Solution

The fourth proportional to 10,852.80, 16,246.80 and 9,686.40 is: 14,500.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,852.80 : 16,246.80 = 9,686.40 : x
  2. Step 2: Convert to fraction form
    10,852.80/16,246.80 = 9,686.40/x
  3. Step 3: Cross multiply
    10,852.80x = 16,246.80 × 9,686.40
  4. Step 4: Simplify right side
    10,852.80x = 157,373,003.52
  5. Step 5: Solve for x
    x = 157,373,003.52/10,852.80
  6. Step 6: Final answer
    x = 14,500.68

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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.