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Finding the Fourth Proportional to 14,495.40, 21,743.10 and 9,311.40

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Solution

The fourth proportional to 14,495.40, 21,743.10 and 9,311.40 is: 13,967.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,495.40 : 21,743.10 = 9,311.40 : x
  2. Step 2: Convert to fraction form
    14,495.40/21,743.10 = 9,311.40/x
  3. Step 3: Cross multiply
    14,495.40x = 21,743.10 × 9,311.40
  4. Step 4: Simplify right side
    14,495.40x = 202,458,701.34
  5. Step 5: Solve for x
    x = 202,458,701.34/14,495.40
  6. Step 6: Final answer
    x = 13,967.10

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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.