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Finding the Fourth Proportional to 1,875.56, 2,813.52 and 643.40

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Solution

The fourth proportional to 1,875.56, 2,813.52 and 643.40 is: 965.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.56 : 2,813.52 = 643.40 : x
  2. Step 2: Convert to fraction form
    1,875.56/2,813.52 = 643.40/x
  3. Step 3: Cross multiply
    1,875.56x = 2,813.52 × 643.40
  4. Step 4: Simplify right side
    1,875.56x = 1,810,218.77
  5. Step 5: Solve for x
    x = 1,810,218.77/1,875.56
  6. Step 6: Final answer
    x = 965.16

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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.