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Finding the Fourth Proportional to 2,970.62, 4,430.80 and 2,799.30

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Solution

The fourth proportional to 2,970.62, 4,430.80 and 2,799.30 is: 4,175.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.62 : 4,430.80 = 2,799.30 : x
  2. Step 2: Convert to fraction form
    2,970.62/4,430.80 = 2,799.30/x
  3. Step 3: Cross multiply
    2,970.62x = 4,430.80 × 2,799.30
  4. Step 4: Simplify right side
    2,970.62x = 12,403,156.52
  5. Step 5: Solve for x
    x = 12,403,156.52/2,970.62
  6. Step 6: Final answer
    x = 4,175.28

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.