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Finding the Fourth Proportional to 1,870, 2,580 and 1,207.36

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Solution

The fourth proportional to 1,870, 2,580 and 1,207.36 is: 1,665.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,870 : 2,580 = 1,207.36 : x
  2. Step 2: Convert to fraction form
    1,870/2,580 = 1,207.36/x
  3. Step 3: Cross multiply
    1,870x = 2,580 × 1,207.36
  4. Step 4: Simplify right side
    1,870x = 3,114,988.80
  5. Step 5: Solve for x
    x = 3,114,988.80/1,870
  6. Step 6: Final answer
    x = 1,665.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.