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Finding the Fourth Proportional to 10,205.10, 15,307.65 and 9,719.10

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Solution

The fourth proportional to 10,205.10, 15,307.65 and 9,719.10 is: 14,578.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,205.10 : 15,307.65 = 9,719.10 : x
  2. Step 2: Convert to fraction form
    10,205.10/15,307.65 = 9,719.10/x
  3. Step 3: Cross multiply
    10,205.10x = 15,307.65 × 9,719.10
  4. Step 4: Simplify right side
    10,205.10x = 148,776,581.12
  5. Step 5: Solve for x
    x = 148,776,581.12/10,205.10
  6. Step 6: Final answer
    x = 14,578.65

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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.