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Finding the Fourth Proportional to 12,645.64, 18,970.52 and 4,748.77

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Solution

The fourth proportional to 12,645.64, 18,970.52 and 4,748.77 is: 7,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,645.64 : 18,970.52 = 4,748.77 : x
  2. Step 2: Convert to fraction form
    12,645.64/18,970.52 = 4,748.77/x
  3. Step 3: Cross multiply
    12,645.64x = 18,970.52 × 4,748.77
  4. Step 4: Simplify right side
    12,645.64x = 90,086,588.83
  5. Step 5: Solve for x
    x = 90,086,588.83/12,645.64
  6. Step 6: Final answer
    x = 7,123.93

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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.