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Finding the Fourth Proportional to 10,900.04, 15,050.50 and 8,378.16

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Solution

The fourth proportional to 10,900.04, 15,050.50 and 8,378.16 is: 11,568.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,900.04 : 15,050.50 = 8,378.16 : x
  2. Step 2: Convert to fraction form
    10,900.04/15,050.50 = 8,378.16/x
  3. Step 3: Cross multiply
    10,900.04x = 15,050.50 × 8,378.16
  4. Step 4: Simplify right side
    10,900.04x = 126,095,497.08
  5. Step 5: Solve for x
    x = 126,095,497.08/10,900.04
  6. Step 6: Final answer
    x = 11,568.35

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Double scale
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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.