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Finding the Fourth Proportional to 5,702.89, 7,870.11 and 3,578.51

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Solution

The fourth proportional to 5,702.89, 7,870.11 and 3,578.51 is: 4,938.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,702.89 : 7,870.11 = 3,578.51 : x
  2. Step 2: Convert to fraction form
    5,702.89/7,870.11 = 3,578.51/x
  3. Step 3: Cross multiply
    5,702.89x = 7,870.11 × 3,578.51
  4. Step 4: Simplify right side
    5,702.89x = 28,163,267.34
  5. Step 5: Solve for x
    x = 28,163,267.34/5,702.89
  6. Step 6: Final answer
    x = 4,938.42

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1.5x scale

Why These Related Problems?

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