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Finding the Fourth Proportional to 10,509, 15,768.50 and 6,559.18

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Solution

The fourth proportional to 10,509, 15,768.50 and 6,559.18 is: 9,841.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,509 : 15,768.50 = 6,559.18 : x
  2. Step 2: Convert to fraction form
    10,509/15,768.50 = 6,559.18/x
  3. Step 3: Cross multiply
    10,509x = 15,768.50 × 6,559.18
  4. Step 4: Simplify right side
    10,509x = 103,428,429.83
  5. Step 5: Solve for x
    x = 103,428,429.83/10,509
  6. Step 6: Final answer
    x = 9,841.89

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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.