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Finding the Fourth Proportional to 10,416.78, 15,625.14 and 4,260.78

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Solution

The fourth proportional to 10,416.78, 15,625.14 and 4,260.78 is: 6,391.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,416.78 : 15,625.14 = 4,260.78 : x
  2. Step 2: Convert to fraction form
    10,416.78/15,625.14 = 4,260.78/x
  3. Step 3: Cross multiply
    10,416.78x = 15,625.14 × 4,260.78
  4. Step 4: Simplify right side
    10,416.78x = 66,575,284.01
  5. Step 5: Solve for x
    x = 66,575,284.01/10,416.78
  6. Step 6: Final answer
    x = 6,391.16

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.