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Finding the Fourth Proportional to 14,646.19, 20,211.62 and 7,931.65

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Solution

The fourth proportional to 14,646.19, 20,211.62 and 7,931.65 is: 10,945.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.19 : 20,211.62 = 7,931.65 : x
  2. Step 2: Convert to fraction form
    14,646.19/20,211.62 = 7,931.65/x
  3. Step 3: Cross multiply
    14,646.19x = 20,211.62 × 7,931.65
  4. Step 4: Simplify right side
    14,646.19x = 160,311,495.77
  5. Step 5: Solve for x
    x = 160,311,495.77/14,646.19
  6. Step 6: Final answer
    x = 10,945.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.