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Finding the Fourth Proportional to 13,602.39, 20,384.12 and 7,746.90

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Solution

The fourth proportional to 13,602.39, 20,384.12 and 7,746.90 is: 11,609.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,602.39 : 20,384.12 = 7,746.90 : x
  2. Step 2: Convert to fraction form
    13,602.39/20,384.12 = 7,746.90/x
  3. Step 3: Cross multiply
    13,602.39x = 20,384.12 × 7,746.90
  4. Step 4: Simplify right side
    13,602.39x = 157,913,700.49
  5. Step 5: Solve for x
    x = 157,913,700.49/13,602.39
  6. Step 6: Final answer
    x = 11,609.26

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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.