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Finding the Fourth Proportional to 2,702.59, 4,054.08 and 947.39

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Solution

The fourth proportional to 2,702.59, 4,054.08 and 947.39 is: 1,421.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,702.59 : 4,054.08 = 947.39 : x
  2. Step 2: Convert to fraction form
    2,702.59/4,054.08 = 947.39/x
  3. Step 3: Cross multiply
    2,702.59x = 4,054.08 × 947.39
  4. Step 4: Simplify right side
    2,702.59x = 3,840,790.11
  5. Step 5: Solve for x
    x = 3,840,790.11/2,702.59
  6. Step 6: Final answer
    x = 1,421.15

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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.