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Finding the Fourth Proportional to 3,045.60, 4,567.95 and 854.55

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Solution

The fourth proportional to 3,045.60, 4,567.95 and 854.55 is: 1,281.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,045.60 : 4,567.95 = 854.55 : x
  2. Step 2: Convert to fraction form
    3,045.60/4,567.95 = 854.55/x
  3. Step 3: Cross multiply
    3,045.60x = 4,567.95 × 854.55
  4. Step 4: Simplify right side
    3,045.60x = 3,903,541.67
  5. Step 5: Solve for x
    x = 3,903,541.67/3,045.60
  6. Step 6: Final answer
    x = 1,281.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.