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Finding the Fourth Proportional to 10,402.13, 15,602.70 and 3,827.84

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Solution

The fourth proportional to 10,402.13, 15,602.70 and 3,827.84 is: 5,741.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,402.13 : 15,602.70 = 3,827.84 : x
  2. Step 2: Convert to fraction form
    10,402.13/15,602.70 = 3,827.84/x
  3. Step 3: Cross multiply
    10,402.13x = 15,602.70 × 3,827.84
  4. Step 4: Simplify right side
    10,402.13x = 59,724,639.17
  5. Step 5: Solve for x
    x = 59,724,639.17/10,402.13
  6. Step 6: Final answer
    x = 5,741.58

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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.