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Finding the Fourth Proportional to 4,746.24, 7,111.47 and 2,891.76

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Solution

The fourth proportional to 4,746.24, 7,111.47 and 2,891.76 is: 4,332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,746.24 : 7,111.47 = 2,891.76 : x
  2. Step 2: Convert to fraction form
    4,746.24/7,111.47 = 2,891.76/x
  3. Step 3: Cross multiply
    4,746.24x = 7,111.47 × 2,891.76
  4. Step 4: Simplify right side
    4,746.24x = 20,564,664.49
  5. Step 5: Solve for x
    x = 20,564,664.49/4,746.24
  6. Step 6: Final answer
    x = 4,332.83

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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.