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Finding the Fourth Proportional to 5,409.84, 8,115.65 and 1,898.93

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Solution

The fourth proportional to 5,409.84, 8,115.65 and 1,898.93 is: 2,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,409.84 : 8,115.65 = 1,898.93 : x
  2. Step 2: Convert to fraction form
    5,409.84/8,115.65 = 1,898.93/x
  3. Step 3: Cross multiply
    5,409.84x = 8,115.65 × 1,898.93
  4. Step 4: Simplify right side
    5,409.84x = 15,411,065.12
  5. Step 5: Solve for x
    x = 15,411,065.12/5,409.84
  6. Step 6: Final answer
    x = 2,848.71

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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.