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Finding the Fourth Proportional to 12,477.60, 18,707.04 and 7,546.24

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Solution

The fourth proportional to 12,477.60, 18,707.04 and 7,546.24 is: 11,313.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,477.60 : 18,707.04 = 7,546.24 : x
  2. Step 2: Convert to fraction form
    12,477.60/18,707.04 = 7,546.24/x
  3. Step 3: Cross multiply
    12,477.60x = 18,707.04 × 7,546.24
  4. Step 4: Simplify right side
    12,477.60x = 141,167,813.53
  5. Step 5: Solve for x
    x = 141,167,813.53/12,477.60
  6. Step 6: Final answer
    x = 11,313.70

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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.