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Finding the Fourth Proportional to 2,946.96, 4,420.50 and 866.74

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Solution

The fourth proportional to 2,946.96, 4,420.50 and 866.74 is: 1,300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,946.96 : 4,420.50 = 866.74 : x
  2. Step 2: Convert to fraction form
    2,946.96/4,420.50 = 866.74/x
  3. Step 3: Cross multiply
    2,946.96x = 4,420.50 × 866.74
  4. Step 4: Simplify right side
    2,946.96x = 3,831,424.17
  5. Step 5: Solve for x
    x = 3,831,424.17/2,946.96
  6. Step 6: Final answer
    x = 1,300.13

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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.