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Finding the Fourth Proportional to 1,875.46, 2,810.11 and 642.21

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Solution

The fourth proportional to 1,875.46, 2,810.11 and 642.21 is: 962.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.46 : 2,810.11 = 642.21 : x
  2. Step 2: Convert to fraction form
    1,875.46/2,810.11 = 642.21/x
  3. Step 3: Cross multiply
    1,875.46x = 2,810.11 × 642.21
  4. Step 4: Simplify right side
    1,875.46x = 1,804,680.74
  5. Step 5: Solve for x
    x = 1,804,680.74/1,875.46
  6. Step 6: Final answer
    x = 962.26

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1.5x scale

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.