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Finding the Fourth Proportional to 10,687.60, 16,009.80 and 6,065.20

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Solution

The fourth proportional to 10,687.60, 16,009.80 and 6,065.20 is: 9,085.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.60 : 16,009.80 = 6,065.20 : x
  2. Step 2: Convert to fraction form
    10,687.60/16,009.80 = 6,065.20/x
  3. Step 3: Cross multiply
    10,687.60x = 16,009.80 × 6,065.20
  4. Step 4: Simplify right side
    10,687.60x = 97,102,638.96
  5. Step 5: Solve for x
    x = 97,102,638.96/10,687.60
  6. Step 6: Final answer
    x = 9,085.54

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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.