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Finding the Fourth Proportional to 2,900.24, 4,001.76 and 1,721.12

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Solution

The fourth proportional to 2,900.24, 4,001.76 and 1,721.12 is: 2,374.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,900.24 : 4,001.76 = 1,721.12 : x
  2. Step 2: Convert to fraction form
    2,900.24/4,001.76 = 1,721.12/x
  3. Step 3: Cross multiply
    2,900.24x = 4,001.76 × 1,721.12
  4. Step 4: Simplify right side
    2,900.24x = 6,887,509.17
  5. Step 5: Solve for x
    x = 6,887,509.17/2,900.24
  6. Step 6: Final answer
    x = 2,374.81

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1.5x scale

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.