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Finding the Fourth Proportional to 1,875.04, 2,812.55 and 642.46

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Solution

The fourth proportional to 1,875.04, 2,812.55 and 642.46 is: 963.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.04 : 2,812.55 = 642.46 : x
  2. Step 2: Convert to fraction form
    1,875.04/2,812.55 = 642.46/x
  3. Step 3: Cross multiply
    1,875.04x = 2,812.55 × 642.46
  4. Step 4: Simplify right side
    1,875.04x = 1,806,950.87
  5. Step 5: Solve for x
    x = 1,806,950.87/1,875.04
  6. Step 6: Final answer
    x = 963.69

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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.