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Finding the Fourth Proportional to 5,392.80, 8,032.52 and 5,140

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Solution

The fourth proportional to 5,392.80, 8,032.52 and 5,140 is: 7,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,392.80 : 8,032.52 = 5,140 : x
  2. Step 2: Convert to fraction form
    5,392.80/8,032.52 = 5,140/x
  3. Step 3: Cross multiply
    5,392.80x = 8,032.52 × 5,140
  4. Step 4: Simplify right side
    5,392.80x = 41,287,152.80
  5. Step 5: Solve for x
    x = 41,287,152.80/5,392.80
  6. Step 6: Final answer
    x = 7,655.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.