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Finding the Fourth Proportional to 14,462.40, 19,958.40 and 8,174.72

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Solution

The fourth proportional to 14,462.40, 19,958.40 and 8,174.72 is: 11,281.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,462.40 : 19,958.40 = 8,174.72 : x
  2. Step 2: Convert to fraction form
    14,462.40/19,958.40 = 8,174.72/x
  3. Step 3: Cross multiply
    14,462.40x = 19,958.40 × 8,174.72
  4. Step 4: Simplify right side
    14,462.40x = 163,154,331.65
  5. Step 5: Solve for x
    x = 163,154,331.65/14,462.40
  6. Step 6: Final answer
    x = 11,281.28

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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.