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Finding the Fourth Proportional to 3,335.06, 5,002.64 and 870.13

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Solution

The fourth proportional to 3,335.06, 5,002.64 and 870.13 is: 1,305.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,335.06 : 5,002.64 = 870.13 : x
  2. Step 2: Convert to fraction form
    3,335.06/5,002.64 = 870.13/x
  3. Step 3: Cross multiply
    3,335.06x = 5,002.64 × 870.13
  4. Step 4: Simplify right side
    3,335.06x = 4,352,947.14
  5. Step 5: Solve for x
    x = 4,352,947.14/3,335.06
  6. Step 6: Final answer
    x = 1,305.21

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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.