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Finding the Fourth Proportional to 4,931.72, 7,397.64 and 1,421.78

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Solution

The fourth proportional to 4,931.72, 7,397.64 and 1,421.78 is: 2,132.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,931.72 : 7,397.64 = 1,421.78 : x
  2. Step 2: Convert to fraction form
    4,931.72/7,397.64 = 1,421.78/x
  3. Step 3: Cross multiply
    4,931.72x = 7,397.64 × 1,421.78
  4. Step 4: Simplify right side
    4,931.72x = 10,517,835.09
  5. Step 5: Solve for x
    x = 10,517,835.09/4,931.72
  6. Step 6: Final answer
    x = 2,132.69

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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.