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Finding the Fourth Proportional to 10,154.39, 14,013 and 5,678.13

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Solution

The fourth proportional to 10,154.39, 14,013 and 5,678.13 is: 7,835.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.39 : 14,013 = 5,678.13 : x
  2. Step 2: Convert to fraction form
    10,154.39/14,013 = 5,678.13/x
  3. Step 3: Cross multiply
    10,154.39x = 14,013 × 5,678.13
  4. Step 4: Simplify right side
    10,154.39x = 79,567,688.24
  5. Step 5: Solve for x
    x = 79,567,688.24/10,154.39
  6. Step 6: Final answer
    x = 7,835.80

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Half scale
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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.