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Finding the Fourth Proportional to 14,746.31, 20,350.48 and 8,459.90

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Solution

The fourth proportional to 14,746.31, 20,350.48 and 8,459.90 is: 11,674.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,746.31 : 20,350.48 = 8,459.90 : x
  2. Step 2: Convert to fraction form
    14,746.31/20,350.48 = 8,459.90/x
  3. Step 3: Cross multiply
    14,746.31x = 20,350.48 × 8,459.90
  4. Step 4: Simplify right side
    14,746.31x = 172,162,924.00
  5. Step 5: Solve for x
    x = 172,162,924.00/14,746.31
  6. Step 6: Final answer
    x = 11,674.99

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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.