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Finding the Fourth Proportional to 4,742.48, 7,113.72 and 1,663.76

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Solution

The fourth proportional to 4,742.48, 7,113.72 and 1,663.76 is: 2,495.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,742.48 : 7,113.72 = 1,663.76 : x
  2. Step 2: Convert to fraction form
    4,742.48/7,113.72 = 1,663.76/x
  3. Step 3: Cross multiply
    4,742.48x = 7,113.72 × 1,663.76
  4. Step 4: Simplify right side
    4,742.48x = 11,835,522.79
  5. Step 5: Solve for x
    x = 11,835,522.79/4,742.48
  6. Step 6: Final answer
    x = 2,495.64

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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.