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Finding the Fourth Proportional to 1,875.80, 2,813.70 and 1,259.93

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Solution

The fourth proportional to 1,875.80, 2,813.70 and 1,259.93 is: 1,889.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.80 : 2,813.70 = 1,259.93 : x
  2. Step 2: Convert to fraction form
    1,875.80/2,813.70 = 1,259.93/x
  3. Step 3: Cross multiply
    1,875.80x = 2,813.70 × 1,259.93
  4. Step 4: Simplify right side
    1,875.80x = 3,545,065.04
  5. Step 5: Solve for x
    x = 3,545,065.04/1,875.80
  6. Step 6: Final answer
    x = 1,889.90

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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.