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Finding the Fourth Proportional to 3,061.98, 4,592.96 and 870.74

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Solution

The fourth proportional to 3,061.98, 4,592.96 and 870.74 is: 1,306.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,061.98 : 4,592.96 = 870.74 : x
  2. Step 2: Convert to fraction form
    3,061.98/4,592.96 = 870.74/x
  3. Step 3: Cross multiply
    3,061.98x = 4,592.96 × 870.74
  4. Step 4: Simplify right side
    3,061.98x = 3,999,273.99
  5. Step 5: Solve for x
    x = 3,999,273.99/3,061.98
  6. Step 6: Final answer
    x = 1,306.11

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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.