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Finding the Fourth Proportional to 10,497.88, 14,500.92 and 7,840.68

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Solution

The fourth proportional to 10,497.88, 14,500.92 and 7,840.68 is: 10,830.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.88 : 14,500.92 = 7,840.68 : x
  2. Step 2: Convert to fraction form
    10,497.88/14,500.92 = 7,840.68/x
  3. Step 3: Cross multiply
    10,497.88x = 14,500.92 × 7,840.68
  4. Step 4: Simplify right side
    10,497.88x = 113,697,073.43
  5. Step 5: Solve for x
    x = 113,697,073.43/10,497.88
  6. Step 6: Final answer
    x = 10,830.48

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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.