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Finding the Fourth Proportional to 14,735.64, 20,319 and 12,830.20

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Solution

The fourth proportional to 14,735.64, 20,319 and 12,830.20 is: 17,691.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,735.64 : 20,319 = 12,830.20 : x
  2. Step 2: Convert to fraction form
    14,735.64/20,319 = 12,830.20/x
  3. Step 3: Cross multiply
    14,735.64x = 20,319 × 12,830.20
  4. Step 4: Simplify right side
    14,735.64x = 260,696,833.80
  5. Step 5: Solve for x
    x = 260,696,833.80/14,735.64
  6. Step 6: Final answer
    x = 17,691.59

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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.