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Finding the Fourth Proportional to 13,531, 20,278.68 and 5,730.16

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Solution

The fourth proportional to 13,531, 20,278.68 and 5,730.16 is: 8,587.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,531 : 20,278.68 = 5,730.16 : x
  2. Step 2: Convert to fraction form
    13,531/20,278.68 = 5,730.16/x
  3. Step 3: Cross multiply
    13,531x = 20,278.68 × 5,730.16
  4. Step 4: Simplify right side
    13,531x = 116,200,080.99
  5. Step 5: Solve for x
    x = 116,200,080.99/13,531
  6. Step 6: Final answer
    x = 8,587.69

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1.5x scale

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.