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Finding the Fourth Proportional to 3,225.40, 4,836.66 and 916.36

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Solution

The fourth proportional to 3,225.40, 4,836.66 and 916.36 is: 1,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.40 : 4,836.66 = 916.36 : x
  2. Step 2: Convert to fraction form
    3,225.40/4,836.66 = 916.36/x
  3. Step 3: Cross multiply
    3,225.40x = 4,836.66 × 916.36
  4. Step 4: Simplify right side
    3,225.40x = 4,432,121.76
  5. Step 5: Solve for x
    x = 4,432,121.76/3,225.40
  6. Step 6: Final answer
    x = 1,374.13

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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.