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Finding the Fourth Proportional to 3,045.95, 4,569.21 and 854.70

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Solution

The fourth proportional to 3,045.95, 4,569.21 and 854.70 is: 1,282.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.95 : 4,569.21 = 854.70 : x
  2. Step 2: Convert to fraction form
    3,045.95/4,569.21 = 854.70/x
  3. Step 3: Cross multiply
    3,045.95x = 4,569.21 × 854.70
  4. Step 4: Simplify right side
    3,045.95x = 3,905,312.35
  5. Step 5: Solve for x
    x = 3,905,312.35/3,045.95
  6. Step 6: Final answer
    x = 1,282.13

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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.