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Finding the Fourth Proportional to 13,913.62, 20,871.72 and 5,031.17

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Solution

The fourth proportional to 13,913.62, 20,871.72 and 5,031.17 is: 7,547.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,913.62 : 20,871.72 = 5,031.17 : x
  2. Step 2: Convert to fraction form
    13,913.62/20,871.72 = 5,031.17/x
  3. Step 3: Cross multiply
    13,913.62x = 20,871.72 × 5,031.17
  4. Step 4: Simplify right side
    13,913.62x = 105,009,171.51
  5. Step 5: Solve for x
    x = 105,009,171.51/13,913.62
  6. Step 6: Final answer
    x = 7,547.22

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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.