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Finding the Fourth Proportional to 10,485.88, 14,470.91 and 6,010.50

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Solution

The fourth proportional to 10,485.88, 14,470.91 and 6,010.50 is: 8,294.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,485.88 : 14,470.91 = 6,010.50 : x
  2. Step 2: Convert to fraction form
    10,485.88/14,470.91 = 6,010.50/x
  3. Step 3: Cross multiply
    10,485.88x = 14,470.91 × 6,010.50
  4. Step 4: Simplify right side
    10,485.88x = 86,977,404.56
  5. Step 5: Solve for x
    x = 86,977,404.56/10,485.88
  6. Step 6: Final answer
    x = 8,294.72

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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.