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Finding the Fourth Proportional to 10,617, 15,920.10 and 3,948.84

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Solution

The fourth proportional to 10,617, 15,920.10 and 3,948.84 is: 5,921.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617 : 15,920.10 = 3,948.84 : x
  2. Step 2: Convert to fraction form
    10,617/15,920.10 = 3,948.84/x
  3. Step 3: Cross multiply
    10,617x = 15,920.10 × 3,948.84
  4. Step 4: Simplify right side
    10,617x = 62,865,927.68
  5. Step 5: Solve for x
    x = 62,865,927.68/10,617
  6. Step 6: Final answer
    x = 5,921.25

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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.