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Finding the Fourth Proportional to 5,454, 7,526.60 and 2,970

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Solution

The fourth proportional to 5,454, 7,526.60 and 2,970 is: 4,098.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454 : 7,526.60 = 2,970 : x
  2. Step 2: Convert to fraction form
    5,454/7,526.60 = 2,970/x
  3. Step 3: Cross multiply
    5,454x = 7,526.60 × 2,970
  4. Step 4: Simplify right side
    5,454x = 22,354,002
  5. Step 5: Solve for x
    x = 22,354,002/5,454
  6. Step 6: Final answer
    x = 4,098.64

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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.