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Finding the Fourth Proportional to 9,811.80, 14,718.78 and 2,886.30

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Solution

The fourth proportional to 9,811.80, 14,718.78 and 2,886.30 is: 4,329.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.80 : 14,718.78 = 2,886.30 : x
  2. Step 2: Convert to fraction form
    9,811.80/14,718.78 = 2,886.30/x
  3. Step 3: Cross multiply
    9,811.80x = 14,718.78 × 2,886.30
  4. Step 4: Simplify right side
    9,811.80x = 42,482,814.71
  5. Step 5: Solve for x
    x = 42,482,814.71/9,811.80
  6. Step 6: Final answer
    x = 4,329.77

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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.