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Finding the Fourth Proportional to 5,363, 7,401.40 and 3,125.08

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Solution

The fourth proportional to 5,363, 7,401.40 and 3,125.08 is: 4,312.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363 : 7,401.40 = 3,125.08 : x
  2. Step 2: Convert to fraction form
    5,363/7,401.40 = 3,125.08/x
  3. Step 3: Cross multiply
    5,363x = 7,401.40 × 3,125.08
  4. Step 4: Simplify right side
    5,363x = 23,129,967.11
  5. Step 5: Solve for x
    x = 23,129,967.11/5,363
  6. Step 6: Final answer
    x = 4,312.88

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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.