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Finding the Fourth Proportional to 6,441, 8,888.52 and 3,646.50

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Solution

The fourth proportional to 6,441, 8,888.52 and 3,646.50 is: 5,032.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441 : 8,888.52 = 3,646.50 : x
  2. Step 2: Convert to fraction form
    6,441/8,888.52 = 3,646.50/x
  3. Step 3: Cross multiply
    6,441x = 8,888.52 × 3,646.50
  4. Step 4: Simplify right side
    6,441x = 32,411,988.18
  5. Step 5: Solve for x
    x = 32,411,988.18/6,441
  6. Step 6: Final answer
    x = 5,032.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.