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Finding the Fourth Proportional to 14,423.18, 19,905.90 and 8,457.20

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Solution

The fourth proportional to 14,423.18, 19,905.90 and 8,457.20 is: 11,672.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,423.18 : 19,905.90 = 8,457.20 : x
  2. Step 2: Convert to fraction form
    14,423.18/19,905.90 = 8,457.20/x
  3. Step 3: Cross multiply
    14,423.18x = 19,905.90 × 8,457.20
  4. Step 4: Simplify right side
    14,423.18x = 168,348,177.48
  5. Step 5: Solve for x
    x = 168,348,177.48/14,423.18
  6. Step 6: Final answer
    x = 11,672.06

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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.