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Finding the Fourth Proportional to 10,780.98, 14,877.60 and 6,065.25

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Solution

The fourth proportional to 10,780.98, 14,877.60 and 6,065.25 is: 8,369.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,780.98 : 14,877.60 = 6,065.25 : x
  2. Step 2: Convert to fraction form
    10,780.98/14,877.60 = 6,065.25/x
  3. Step 3: Cross multiply
    10,780.98x = 14,877.60 × 6,065.25
  4. Step 4: Simplify right side
    10,780.98x = 90,236,363.40
  5. Step 5: Solve for x
    x = 90,236,363.40/10,780.98
  6. Step 6: Final answer
    x = 8,369.96

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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.