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Finding the Fourth Proportional to 5,925, 8,886.79 and 1,542.80

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Solution

The fourth proportional to 5,925, 8,886.79 and 1,542.80 is: 2,314.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,925 : 8,886.79 = 1,542.80 : x
  2. Step 2: Convert to fraction form
    5,925/8,886.79 = 1,542.80/x
  3. Step 3: Cross multiply
    5,925x = 8,886.79 × 1,542.80
  4. Step 4: Simplify right side
    5,925x = 13,710,539.61
  5. Step 5: Solve for x
    x = 13,710,539.61/5,925
  6. Step 6: Final answer
    x = 2,314.02

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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.