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Finding the Fourth Proportional to 18,420.04, 27,641.87 and 18,352

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Solution

The fourth proportional to 18,420.04, 27,641.87 and 18,352 is: 27,539.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,420.04 : 27,641.87 = 18,352 : x
  2. Step 2: Convert to fraction form
    18,420.04/27,641.87 = 18,352/x
  3. Step 3: Cross multiply
    18,420.04x = 27,641.87 × 18,352
  4. Step 4: Simplify right side
    18,420.04x = 507,283,598.24
  5. Step 5: Solve for x
    x = 507,283,598.24/18,420.04
  6. Step 6: Final answer
    x = 27,539.77

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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.