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Finding the Fourth Proportional to 1,875.50, 2,588.12 and 1,036.20

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Solution

The fourth proportional to 1,875.50, 2,588.12 and 1,036.20 is: 1,429.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,875.50 : 2,588.12 = 1,036.20 : x
  2. Step 2: Convert to fraction form
    1,875.50/2,588.12 = 1,036.20/x
  3. Step 3: Cross multiply
    1,875.50x = 2,588.12 × 1,036.20
  4. Step 4: Simplify right side
    1,875.50x = 2,681,809.94
  5. Step 5: Solve for x
    x = 2,681,809.94/1,875.50
  6. Step 6: Final answer
    x = 1,429.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.