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Finding the Fourth Proportional to 14,774.40, 22,142.16 and 7,387.20

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Solution

The fourth proportional to 14,774.40, 22,142.16 and 7,387.20 is: 11,071.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,774.40 : 22,142.16 = 7,387.20 : x
  2. Step 2: Convert to fraction form
    14,774.40/22,142.16 = 7,387.20/x
  3. Step 3: Cross multiply
    14,774.40x = 22,142.16 × 7,387.20
  4. Step 4: Simplify right side
    14,774.40x = 163,568,564.35
  5. Step 5: Solve for x
    x = 163,568,564.35/14,774.40
  6. Step 6: Final answer
    x = 11,071.08

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Half scale
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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.