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Finding the Fourth Proportional to 7,952, 10,973.76 and 4,415.78

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Solution

The fourth proportional to 7,952, 10,973.76 and 4,415.78 is: 6,093.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,952 : 10,973.76 = 4,415.78 : x
  2. Step 2: Convert to fraction form
    7,952/10,973.76 = 4,415.78/x
  3. Step 3: Cross multiply
    7,952x = 10,973.76 × 4,415.78
  4. Step 4: Simplify right side
    7,952x = 48,457,709.93
  5. Step 5: Solve for x
    x = 48,457,709.93/7,952
  6. Step 6: Final answer
    x = 6,093.78

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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.