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Finding the Fourth Proportional to 2,864.74, 4,295.52 and 990.07

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Solution

The fourth proportional to 2,864.74, 4,295.52 and 990.07 is: 1,484.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,864.74 : 4,295.52 = 990.07 : x
  2. Step 2: Convert to fraction form
    2,864.74/4,295.52 = 990.07/x
  3. Step 3: Cross multiply
    2,864.74x = 4,295.52 × 990.07
  4. Step 4: Simplify right side
    2,864.74x = 4,252,877.52
  5. Step 5: Solve for x
    x = 4,252,877.52/2,864.74
  6. Step 6: Final answer
    x = 1,484.56

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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.