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Finding the Fourth Proportional to 5,801.84, 8,702.84 and 1,419.40

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Solution

The fourth proportional to 5,801.84, 8,702.84 and 1,419.40 is: 2,129.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,801.84 : 8,702.84 = 1,419.40 : x
  2. Step 2: Convert to fraction form
    5,801.84/8,702.84 = 1,419.40/x
  3. Step 3: Cross multiply
    5,801.84x = 8,702.84 × 1,419.40
  4. Step 4: Simplify right side
    5,801.84x = 12,352,811.10
  5. Step 5: Solve for x
    x = 12,352,811.10/5,801.84
  6. Step 6: Final answer
    x = 2,129.12

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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.