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Finding the Fourth Proportional to 5,415.78, 7,473.78 and 2,931.78

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Solution

The fourth proportional to 5,415.78, 7,473.78 and 2,931.78 is: 4,045.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.78 : 7,473.78 = 2,931.78 : x
  2. Step 2: Convert to fraction form
    5,415.78/7,473.78 = 2,931.78/x
  3. Step 3: Cross multiply
    5,415.78x = 7,473.78 × 2,931.78
  4. Step 4: Simplify right side
    5,415.78x = 21,911,478.73
  5. Step 5: Solve for x
    x = 21,911,478.73/5,415.78
  6. Step 6: Final answer
    x = 4,045.86

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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.