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Finding the Fourth Proportional to 21,345, 32,014.49 and 13,423.36

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Solution

The fourth proportional to 21,345, 32,014.49 and 13,423.36 is: 20,133.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,345 : 32,014.49 = 13,423.36 : x
  2. Step 2: Convert to fraction form
    21,345/32,014.49 = 13,423.36/x
  3. Step 3: Cross multiply
    21,345x = 32,014.49 × 13,423.36
  4. Step 4: Simplify right side
    21,345x = 429,742,024.49
  5. Step 5: Solve for x
    x = 429,742,024.49/21,345
  6. Step 6: Final answer
    x = 20,133.15

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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.