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Finding the Fourth Proportional to 1,875.30, 2,813.76 and 901.68

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Solution

The fourth proportional to 1,875.30, 2,813.76 and 901.68 is: 1,352.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.30 : 2,813.76 = 901.68 : x
  2. Step 2: Convert to fraction form
    1,875.30/2,813.76 = 901.68/x
  3. Step 3: Cross multiply
    1,875.30x = 2,813.76 × 901.68
  4. Step 4: Simplify right side
    1,875.30x = 2,537,111.12
  5. Step 5: Solve for x
    x = 2,537,111.12/1,875.30
  6. Step 6: Final answer
    x = 1,352.91

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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.