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Finding the Fourth Proportional to 12,597.70, 18,880.35 and 7,662.10

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Solution

The fourth proportional to 12,597.70, 18,880.35 and 7,662.10 is: 11,483.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,597.70 : 18,880.35 = 7,662.10 : x
  2. Step 2: Convert to fraction form
    12,597.70/18,880.35 = 7,662.10/x
  3. Step 3: Cross multiply
    12,597.70x = 18,880.35 × 7,662.10
  4. Step 4: Simplify right side
    12,597.70x = 144,663,129.74
  5. Step 5: Solve for x
    x = 144,663,129.74/12,597.70
  6. Step 6: Final answer
    x = 11,483.30

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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.