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Finding the Fourth Proportional to 14,648.40, 20,217.60 and 9,349.20

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Solution

The fourth proportional to 14,648.40, 20,217.60 and 9,349.20 is: 12,903.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648.40 : 20,217.60 = 9,349.20 : x
  2. Step 2: Convert to fraction form
    14,648.40/20,217.60 = 9,349.20/x
  3. Step 3: Cross multiply
    14,648.40x = 20,217.60 × 9,349.20
  4. Step 4: Simplify right side
    14,648.40x = 189,018,385.92
  5. Step 5: Solve for x
    x = 189,018,385.92/14,648.40
  6. Step 6: Final answer
    x = 12,903.69

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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.