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Finding the Fourth Proportional to 2,025, 3,038.76 and 870.76

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Solution

The fourth proportional to 2,025, 3,038.76 and 870.76 is: 1,306.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025 : 3,038.76 = 870.76 : x
  2. Step 2: Convert to fraction form
    2,025/3,038.76 = 870.76/x
  3. Step 3: Cross multiply
    2,025x = 3,038.76 × 870.76
  4. Step 4: Simplify right side
    2,025x = 2,646,030.66
  5. Step 5: Solve for x
    x = 2,646,030.66/2,025
  6. Step 6: Final answer
    x = 1,306.68

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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.