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Finding the Fourth Proportional to 1,510.48, 2,084.61 and 847.45

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Solution

The fourth proportional to 1,510.48, 2,084.61 and 847.45 is: 1,169.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,510.48 : 2,084.61 = 847.45 : x
  2. Step 2: Convert to fraction form
    1,510.48/2,084.61 = 847.45/x
  3. Step 3: Cross multiply
    1,510.48x = 2,084.61 × 847.45
  4. Step 4: Simplify right side
    1,510.48x = 1,766,602.74
  5. Step 5: Solve for x
    x = 1,766,602.74/1,510.48
  6. Step 6: Final answer
    x = 1,169.56

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