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Finding the Fourth Proportional to 10,239, 14,119.38 and 9,643.80

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Solution

The fourth proportional to 10,239, 14,119.38 and 9,643.80 is: 13,298.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,239 : 14,119.38 = 9,643.80 : x
  2. Step 2: Convert to fraction form
    10,239/14,119.38 = 9,643.80/x
  3. Step 3: Cross multiply
    10,239x = 14,119.38 × 9,643.80
  4. Step 4: Simplify right side
    10,239x = 136,164,476.84
  5. Step 5: Solve for x
    x = 136,164,476.84/10,239
  6. Step 6: Final answer
    x = 13,298.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.