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Finding the Fourth Proportional to 10,418.76, 15,619.10 and 9,838.84

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Solution

The fourth proportional to 10,418.76, 15,619.10 and 9,838.84 is: 14,749.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,418.76 : 15,619.10 = 9,838.84 : x
  2. Step 2: Convert to fraction form
    10,418.76/15,619.10 = 9,838.84/x
  3. Step 3: Cross multiply
    10,418.76x = 15,619.10 × 9,838.84
  4. Step 4: Simplify right side
    10,418.76x = 153,673,825.84
  5. Step 5: Solve for x
    x = 153,673,825.84/10,418.76
  6. Step 6: Final answer
    x = 14,749.72

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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.