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Finding the Fourth Proportional to 21,420.13, 32,125.02 and 8,264.11

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Solution

The fourth proportional to 21,420.13, 32,125.02 and 8,264.11 is: 12,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,420.13 : 32,125.02 = 8,264.11 : x
  2. Step 2: Convert to fraction form
    21,420.13/32,125.02 = 8,264.11/x
  3. Step 3: Cross multiply
    21,420.13x = 32,125.02 × 8,264.11
  4. Step 4: Simplify right side
    21,420.13x = 265,484,699.03
  5. Step 5: Solve for x
    x = 265,484,699.03/21,420.13
  6. Step 6: Final answer
    x = 12,394.17

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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.