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Finding the Fourth Proportional to 4,742, 6,543.48 and 2,645.76

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Solution

The fourth proportional to 4,742, 6,543.48 and 2,645.76 is: 3,650.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742 : 6,543.48 = 2,645.76 : x
  2. Step 2: Convert to fraction form
    4,742/6,543.48 = 2,645.76/x
  3. Step 3: Cross multiply
    4,742x = 6,543.48 × 2,645.76
  4. Step 4: Simplify right side
    4,742x = 17,312,477.64
  5. Step 5: Solve for x
    x = 17,312,477.64/4,742
  6. Step 6: Final answer
    x = 3,650.88

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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.