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Finding the Fourth Proportional to 2,547.51, 3,519.95 and 1,837.95

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Solution

The fourth proportional to 2,547.51, 3,519.95 and 1,837.95 is: 2,539.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,547.51 : 3,519.95 = 1,837.95 : x
  2. Step 2: Convert to fraction form
    2,547.51/3,519.95 = 1,837.95/x
  3. Step 3: Cross multiply
    2,547.51x = 3,519.95 × 1,837.95
  4. Step 4: Simplify right side
    2,547.51x = 6,469,482.91
  5. Step 5: Solve for x
    x = 6,469,482.91/2,547.51
  6. Step 6: Final answer
    x = 2,539.53

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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.