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Finding the Fourth Proportional to 3,068.09, 4,602.29 and 877.15

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Solution

The fourth proportional to 3,068.09, 4,602.29 and 877.15 is: 1,315.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,068.09 : 4,602.29 = 877.15 : x
  2. Step 2: Convert to fraction form
    3,068.09/4,602.29 = 877.15/x
  3. Step 3: Cross multiply
    3,068.09x = 4,602.29 × 877.15
  4. Step 4: Simplify right side
    3,068.09x = 4,036,875.66
  5. Step 5: Solve for x
    x = 4,036,875.66/3,068.09
  6. Step 6: Final answer
    x = 1,315.76

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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.