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Finding the Fourth Proportional to 14,005.60, 20,988.68 and 7,768.48

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Solution

The fourth proportional to 14,005.60, 20,988.68 and 7,768.48 is: 11,641.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.60 : 20,988.68 = 7,768.48 : x
  2. Step 2: Convert to fraction form
    14,005.60/20,988.68 = 7,768.48/x
  3. Step 3: Cross multiply
    14,005.60x = 20,988.68 × 7,768.48
  4. Step 4: Simplify right side
    14,005.60x = 163,050,140.81
  5. Step 5: Solve for x
    x = 163,050,140.81/14,005.60
  6. Step 6: Final answer
    x = 11,641.78

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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.