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Finding the Fourth Proportional to 6,509.88, 9,765 and 4,051.80

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Solution

The fourth proportional to 6,509.88, 9,765 and 4,051.80 is: 6,077.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.88 : 9,765 = 4,051.80 : x
  2. Step 2: Convert to fraction form
    6,509.88/9,765 = 4,051.80/x
  3. Step 3: Cross multiply
    6,509.88x = 9,765 × 4,051.80
  4. Step 4: Simplify right side
    6,509.88x = 39,565,827
  5. Step 5: Solve for x
    x = 39,565,827/6,509.88
  6. Step 6: Final answer
    x = 6,077.81

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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.