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Finding the Fourth Proportional to 12,378.87, 17,083.44 and 7,075.44

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Solution

The fourth proportional to 12,378.87, 17,083.44 and 7,075.44 is: 9,764.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,378.87 : 17,083.44 = 7,075.44 : x
  2. Step 2: Convert to fraction form
    12,378.87/17,083.44 = 7,075.44/x
  3. Step 3: Cross multiply
    12,378.87x = 17,083.44 × 7,075.44
  4. Step 4: Simplify right side
    12,378.87x = 120,872,854.71
  5. Step 5: Solve for x
    x = 120,872,854.71/12,378.87
  6. Step 6: Final answer
    x = 9,764.45

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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.