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Finding the Fourth Proportional to 2,430.70, 3,643.62 and 870.28

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Solution

The fourth proportional to 2,430.70, 3,643.62 and 870.28 is: 1,304.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,430.70 : 3,643.62 = 870.28 : x
  2. Step 2: Convert to fraction form
    2,430.70/3,643.62 = 870.28/x
  3. Step 3: Cross multiply
    2,430.70x = 3,643.62 × 870.28
  4. Step 4: Simplify right side
    2,430.70x = 3,170,969.61
  5. Step 5: Solve for x
    x = 3,170,969.61/2,430.70
  6. Step 6: Final answer
    x = 1,304.55

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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.