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Finding the Fourth Proportional to 7,347, 11,020.68 and 1,875

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Solution

The fourth proportional to 7,347, 11,020.68 and 1,875 is: 2,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347 : 11,020.68 = 1,875 : x
  2. Step 2: Convert to fraction form
    7,347/11,020.68 = 1,875/x
  3. Step 3: Cross multiply
    7,347x = 11,020.68 × 1,875
  4. Step 4: Simplify right side
    7,347x = 20,663,775
  5. Step 5: Solve for x
    x = 20,663,775/7,347
  6. Step 6: Final answer
    x = 2,812.55

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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.