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Finding the Fourth Proportional to 6,488.79, 9,742.91 and 6,261.99

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Solution

The fourth proportional to 6,488.79, 9,742.91 and 6,261.99 is: 9,402.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.79 : 9,742.91 = 6,261.99 : x
  2. Step 2: Convert to fraction form
    6,488.79/9,742.91 = 6,261.99/x
  3. Step 3: Cross multiply
    6,488.79x = 9,742.91 × 6,261.99
  4. Step 4: Simplify right side
    6,488.79x = 61,009,973.68
  5. Step 5: Solve for x
    x = 61,009,973.68/6,488.79
  6. Step 6: Final answer
    x = 9,402.37

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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.