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Finding the Fourth Proportional to 4,702.91, 6,476.33 and 4,402.40

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Solution

The fourth proportional to 4,702.91, 6,476.33 and 4,402.40 is: 6,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,702.91 : 6,476.33 = 4,402.40 : x
  2. Step 2: Convert to fraction form
    4,702.91/6,476.33 = 4,402.40/x
  3. Step 3: Cross multiply
    4,702.91x = 6,476.33 × 4,402.40
  4. Step 4: Simplify right side
    4,702.91x = 28,511,395.19
  5. Step 5: Solve for x
    x = 28,511,395.19/4,702.91
  6. Step 6: Final answer
    x = 6,062.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.