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Finding the Fourth Proportional to 18,347.50, 25,319.55 and 9,964

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Solution

The fourth proportional to 18,347.50, 25,319.55 and 9,964 is: 13,750.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,347.50 : 25,319.55 = 9,964 : x
  2. Step 2: Convert to fraction form
    18,347.50/25,319.55 = 9,964/x
  3. Step 3: Cross multiply
    18,347.50x = 25,319.55 × 9,964
  4. Step 4: Simplify right side
    18,347.50x = 252,283,996.20
  5. Step 5: Solve for x
    x = 252,283,996.20/18,347.50
  6. Step 6: Final answer
    x = 13,750.32

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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.