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Finding the Fourth Proportional to 5,114.78, 7,672.14 and 1,417

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Solution

The fourth proportional to 5,114.78, 7,672.14 and 1,417 is: 2,125.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,114.78 : 7,672.14 = 1,417 : x
  2. Step 2: Convert to fraction form
    5,114.78/7,672.14 = 1,417/x
  3. Step 3: Cross multiply
    5,114.78x = 7,672.14 × 1,417
  4. Step 4: Simplify right side
    5,114.78x = 10,871,422.38
  5. Step 5: Solve for x
    x = 10,871,422.38/5,114.78
  6. Step 6: Final answer
    x = 2,125.49

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1.5x scale

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.