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Finding the Fourth Proportional to 1,877.65, 2,602.13 and 1,851.22

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Solution

The fourth proportional to 1,877.65, 2,602.13 and 1,851.22 is: 2,565.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,877.65 : 2,602.13 = 1,851.22 : x
  2. Step 2: Convert to fraction form
    1,877.65/2,602.13 = 1,851.22/x
  3. Step 3: Cross multiply
    1,877.65x = 2,602.13 × 1,851.22
  4. Step 4: Simplify right side
    1,877.65x = 4,817,109.10
  5. Step 5: Solve for x
    x = 4,817,109.10/1,877.65
  6. Step 6: Final answer
    x = 2,565.50

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.