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Finding the Fourth Proportional to 29,140.80, 40,209.12 and 16,564.80

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Solution

The fourth proportional to 29,140.80, 40,209.12 and 16,564.80 is: 22,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,140.80 : 40,209.12 = 16,564.80 : x
  2. Step 2: Convert to fraction form
    29,140.80/40,209.12 = 16,564.80/x
  3. Step 3: Cross multiply
    29,140.80x = 40,209.12 × 16,564.80
  4. Step 4: Simplify right side
    29,140.80x = 666,056,030.98
  5. Step 5: Solve for x
    x = 666,056,030.98/29,140.80
  6. Step 6: Final answer
    x = 22,856.48

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1.5x scale

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.