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Finding the Fourth Proportional to 1,875.72, 2,810.51 and 642.47

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Solution

The fourth proportional to 1,875.72, 2,810.51 and 642.47 is: 962.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.72 : 2,810.51 = 642.47 : x
  2. Step 2: Convert to fraction form
    1,875.72/2,810.51 = 642.47/x
  3. Step 3: Cross multiply
    1,875.72x = 2,810.51 × 642.47
  4. Step 4: Simplify right side
    1,875.72x = 1,805,651.09
  5. Step 5: Solve for x
    x = 1,805,651.09/1,875.72
  6. Step 6: Final answer
    x = 962.64

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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.