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Finding the Fourth Proportional to 1,510.30, 2,084.07 and 847.09

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Solution

The fourth proportional to 1,510.30, 2,084.07 and 847.09 is: 1,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.30 : 2,084.07 = 847.09 : x
  2. Step 2: Convert to fraction form
    1,510.30/2,084.07 = 847.09/x
  3. Step 3: Cross multiply
    1,510.30x = 2,084.07 × 847.09
  4. Step 4: Simplify right side
    1,510.30x = 1,765,394.86
  5. Step 5: Solve for x
    x = 1,765,394.86/1,510.30
  6. Step 6: Final answer
    x = 1,168.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.