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Finding the Fourth Proportional to 10,694.80, 16,009.80 and 9,528.40

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Solution

The fourth proportional to 10,694.80, 16,009.80 and 9,528.40 is: 14,263.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,694.80 : 16,009.80 = 9,528.40 : x
  2. Step 2: Convert to fraction form
    10,694.80/16,009.80 = 9,528.40/x
  3. Step 3: Cross multiply
    10,694.80x = 16,009.80 × 9,528.40
  4. Step 4: Simplify right side
    10,694.80x = 152,547,778.32
  5. Step 5: Solve for x
    x = 152,547,778.32/10,694.80
  6. Step 6: Final answer
    x = 14,263.73

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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.