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Finding the Fourth Proportional to 29,406.98, 40,581.59 and 15,978.51

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Solution

The fourth proportional to 29,406.98, 40,581.59 and 15,978.51 is: 22,050.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,406.98 : 40,581.59 = 15,978.51 : x
  2. Step 2: Convert to fraction form
    29,406.98/40,581.59 = 15,978.51/x
  3. Step 3: Cross multiply
    29,406.98x = 40,581.59 × 15,978.51
  4. Step 4: Simplify right side
    29,406.98x = 648,433,261.74
  5. Step 5: Solve for x
    x = 648,433,261.74/29,406.98
  6. Step 6: Final answer
    x = 22,050.32

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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.