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Finding the Fourth Proportional to 29,266.88, 40,378.08 and 20,312

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Solution

The fourth proportional to 29,266.88, 40,378.08 and 20,312 is: 28,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,266.88 : 40,378.08 = 20,312 : x
  2. Step 2: Convert to fraction form
    29,266.88/40,378.08 = 20,312/x
  3. Step 3: Cross multiply
    29,266.88x = 40,378.08 × 20,312
  4. Step 4: Simplify right side
    29,266.88x = 820,159,560.96
  5. Step 5: Solve for x
    x = 820,159,560.96/29,266.88
  6. Step 6: Final answer
    x = 28,023.47

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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.