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Finding the Fourth Proportional to 13,497.40, 20,267.70 and 10,214.20

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Solution

The fourth proportional to 13,497.40, 20,267.70 and 10,214.20 is: 15,337.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.40 : 20,267.70 = 10,214.20 : x
  2. Step 2: Convert to fraction form
    13,497.40/20,267.70 = 10,214.20/x
  3. Step 3: Cross multiply
    13,497.40x = 20,267.70 × 10,214.20
  4. Step 4: Simplify right side
    13,497.40x = 207,018,341.34
  5. Step 5: Solve for x
    x = 207,018,341.34/13,497.40
  6. Step 6: Final answer
    x = 15,337.65

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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.