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Finding the Fourth Proportional to 10,455.84, 15,686.48 and 3,883.92

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Solution

The fourth proportional to 10,455.84, 15,686.48 and 3,883.92 is: 5,826.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,455.84 : 15,686.48 = 3,883.92 : x
  2. Step 2: Convert to fraction form
    10,455.84/15,686.48 = 3,883.92/x
  3. Step 3: Cross multiply
    10,455.84x = 15,686.48 × 3,883.92
  4. Step 4: Simplify right side
    10,455.84x = 60,925,033.40
  5. Step 5: Solve for x
    x = 60,925,033.40/10,455.84
  6. Step 6: Final answer
    x = 5,826.89

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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.