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Finding the Fourth Proportional to 5,428.78, 7,485.15 and 4,588

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Solution

The fourth proportional to 5,428.78, 7,485.15 and 4,588 is: 6,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,428.78 : 7,485.15 = 4,588 : x
  2. Step 2: Convert to fraction form
    5,428.78/7,485.15 = 4,588/x
  3. Step 3: Cross multiply
    5,428.78x = 7,485.15 × 4,588
  4. Step 4: Simplify right side
    5,428.78x = 34,341,868.20
  5. Step 5: Solve for x
    x = 34,341,868.20/5,428.78
  6. Step 6: Final answer
    x = 6,325.89

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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.