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Finding the Fourth Proportional to 12,495.77, 18,734.40 and 7,564.25

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Solution

The fourth proportional to 12,495.77, 18,734.40 and 7,564.25 is: 11,340.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,495.77 : 18,734.40 = 7,564.25 : x
  2. Step 2: Convert to fraction form
    12,495.77/18,734.40 = 7,564.25/x
  3. Step 3: Cross multiply
    12,495.77x = 18,734.40 × 7,564.25
  4. Step 4: Simplify right side
    12,495.77x = 141,711,685.20
  5. Step 5: Solve for x
    x = 141,711,685.20/12,495.77
  6. Step 6: Final answer
    x = 11,340.77

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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.