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Finding the Fourth Proportional to 4,952.68, 7,430.17 and 1,442.77

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Solution

The fourth proportional to 4,952.68, 7,430.17 and 1,442.77 is: 2,164.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,952.68 : 7,430.17 = 1,442.77 : x
  2. Step 2: Convert to fraction form
    4,952.68/7,430.17 = 1,442.77/x
  3. Step 3: Cross multiply
    4,952.68x = 7,430.17 × 1,442.77
  4. Step 4: Simplify right side
    4,952.68x = 10,720,026.37
  5. Step 5: Solve for x
    x = 10,720,026.37/4,952.68
  6. Step 6: Final answer
    x = 2,164.49

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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.