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Finding the Fourth Proportional to 13,498.70, 20,230.70 and 6,468.16

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Solution

The fourth proportional to 13,498.70, 20,230.70 and 6,468.16 is: 9,693.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,498.70 : 20,230.70 = 6,468.16 : x
  2. Step 2: Convert to fraction form
    13,498.70/20,230.70 = 6,468.16/x
  3. Step 3: Cross multiply
    13,498.70x = 20,230.70 × 6,468.16
  4. Step 4: Simplify right side
    13,498.70x = 130,855,404.51
  5. Step 5: Solve for x
    x = 130,855,404.51/13,498.70
  6. Step 6: Final answer
    x = 9,693.93

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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.