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Finding the Fourth Proportional to 4,870, 7,305.04 and 1,407.28

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Solution

The fourth proportional to 4,870, 7,305.04 and 1,407.28 is: 2,110.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,870 : 7,305.04 = 1,407.28 : x
  2. Step 2: Convert to fraction form
    4,870/7,305.04 = 1,407.28/x
  3. Step 3: Cross multiply
    4,870x = 7,305.04 × 1,407.28
  4. Step 4: Simplify right side
    4,870x = 10,280,236.69
  5. Step 5: Solve for x
    x = 10,280,236.69/4,870
  6. Step 6: Final answer
    x = 2,110.93

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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.