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Finding the Fourth Proportional to 10,207, 15,310.50 and 4,055.32

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Solution

The fourth proportional to 10,207, 15,310.50 and 4,055.32 is: 6,082.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,207 : 15,310.50 = 4,055.32 : x
  2. Step 2: Convert to fraction form
    10,207/15,310.50 = 4,055.32/x
  3. Step 3: Cross multiply
    10,207x = 15,310.50 × 4,055.32
  4. Step 4: Simplify right side
    10,207x = 62,088,976.86
  5. Step 5: Solve for x
    x = 62,088,976.86/10,207
  6. Step 6: Final answer
    x = 6,082.98

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Double scale
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Similar ratio
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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.