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Finding the Fourth Proportional to 10,667.65, 15,988.51 and 7,548.57

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Solution

The fourth proportional to 10,667.65, 15,988.51 and 7,548.57 is: 11,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.65 : 15,988.51 = 7,548.57 : x
  2. Step 2: Convert to fraction form
    10,667.65/15,988.51 = 7,548.57/x
  3. Step 3: Cross multiply
    10,667.65x = 15,988.51 × 7,548.57
  4. Step 4: Simplify right side
    10,667.65x = 120,690,372.63
  5. Step 5: Solve for x
    x = 120,690,372.63/10,667.65
  6. Step 6: Final answer
    x = 11,313.68

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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.