Home / 20,748-31,117.32-8,264.64

Finding the Fourth Proportional to 20,748, 31,117.32 and 8,264.64

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Solution

The fourth proportional to 20,748, 31,117.32 and 8,264.64 is: 12,395.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,748 : 31,117.32 = 8,264.64 : x
  2. Step 2: Convert to fraction form
    20,748/31,117.32 = 8,264.64/x
  3. Step 3: Cross multiply
    20,748x = 31,117.32 × 8,264.64
  4. Step 4: Simplify right side
    20,748x = 257,173,447.56
  5. Step 5: Solve for x
    x = 257,173,447.56/20,748
  6. Step 6: Final answer
    x = 12,395.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.