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Finding the Fourth Proportional to 29,157.71, 40,257 and 22,431.47

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Solution

The fourth proportional to 29,157.71, 40,257 and 22,431.47 is: 30,970.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,157.71 : 40,257 = 22,431.47 : x
  2. Step 2: Convert to fraction form
    29,157.71/40,257 = 22,431.47/x
  3. Step 3: Cross multiply
    29,157.71x = 40,257 × 22,431.47
  4. Step 4: Simplify right side
    29,157.71x = 903,023,486.51
  5. Step 5: Solve for x
    x = 903,023,486.51/29,157.71
  6. Step 6: Final answer
    x = 30,970.32

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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.