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Finding the Fourth Proportional to 11,378.61, 17,075.65 and 6,982.65

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Solution

The fourth proportional to 11,378.61, 17,075.65 and 6,982.65 is: 10,478.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,378.61 : 17,075.65 = 6,982.65 : x
  2. Step 2: Convert to fraction form
    11,378.61/17,075.65 = 6,982.65/x
  3. Step 3: Cross multiply
    11,378.61x = 17,075.65 × 6,982.65
  4. Step 4: Simplify right side
    11,378.61x = 119,233,253.51
  5. Step 5: Solve for x
    x = 119,233,253.51/11,378.61
  6. Step 6: Final answer
    x = 10,478.72

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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.