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Finding the Fourth Proportional to 21,888.40, 32,838 and 6,307.24

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Solution

The fourth proportional to 21,888.40, 32,838 and 6,307.24 is: 9,462.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,888.40 : 32,838 = 6,307.24 : x
  2. Step 2: Convert to fraction form
    21,888.40/32,838 = 6,307.24/x
  3. Step 3: Cross multiply
    21,888.40x = 32,838 × 6,307.24
  4. Step 4: Simplify right side
    21,888.40x = 207,117,147.12
  5. Step 5: Solve for x
    x = 207,117,147.12/21,888.40
  6. Step 6: Final answer
    x = 9,462.42

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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.