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Finding the Fourth Proportional to 7,866.40, 10,855.74 and 4,329.76

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Solution

The fourth proportional to 7,866.40, 10,855.74 and 4,329.76 is: 5,975.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.40 : 10,855.74 = 4,329.76 : x
  2. Step 2: Convert to fraction form
    7,866.40/10,855.74 = 4,329.76/x
  3. Step 3: Cross multiply
    7,866.40x = 10,855.74 × 4,329.76
  4. Step 4: Simplify right side
    7,866.40x = 47,002,748.82
  5. Step 5: Solve for x
    x = 47,002,748.82/7,866.40
  6. Step 6: Final answer
    x = 5,975.13

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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.