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Finding the Fourth Proportional to 20,152.65, 30,187.80 and 9,590.70

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Solution

The fourth proportional to 20,152.65, 30,187.80 and 9,590.70 is: 14,366.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.65 : 30,187.80 = 9,590.70 : x
  2. Step 2: Convert to fraction form
    20,152.65/30,187.80 = 9,590.70/x
  3. Step 3: Cross multiply
    20,152.65x = 30,187.80 × 9,590.70
  4. Step 4: Simplify right side
    20,152.65x = 289,522,133.46
  5. Step 5: Solve for x
    x = 289,522,133.46/20,152.65
  6. Step 6: Final answer
    x = 14,366.45

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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.