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Finding the Fourth Proportional to 2,046.81, 3,070.22 and 507.81

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Solution

The fourth proportional to 2,046.81, 3,070.22 and 507.81 is: 761.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,046.81 : 3,070.22 = 507.81 : x
  2. Step 2: Convert to fraction form
    2,046.81/3,070.22 = 507.81/x
  3. Step 3: Cross multiply
    2,046.81x = 3,070.22 × 507.81
  4. Step 4: Simplify right side
    2,046.81x = 1,559,088.42
  5. Step 5: Solve for x
    x = 1,559,088.42/2,046.81
  6. Step 6: Final answer
    x = 761.72

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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.