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Finding the Fourth Proportional to 23,420.59, 32,320.67 and 12,810

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Solution

The fourth proportional to 23,420.59, 32,320.67 and 12,810 is: 17,677.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,420.59 : 32,320.67 = 12,810 : x
  2. Step 2: Convert to fraction form
    23,420.59/32,320.67 = 12,810/x
  3. Step 3: Cross multiply
    23,420.59x = 32,320.67 × 12,810
  4. Step 4: Simplify right side
    23,420.59x = 414,027,782.70
  5. Step 5: Solve for x
    x = 414,027,782.70/23,420.59
  6. Step 6: Final answer
    x = 17,677.94

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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.