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Finding the Fourth Proportional to 1,750.40, 2,417.01 and 1,563.56

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Solution

The fourth proportional to 1,750.40, 2,417.01 and 1,563.56 is: 2,159.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,750.40 : 2,417.01 = 1,563.56 : x
  2. Step 2: Convert to fraction form
    1,750.40/2,417.01 = 1,563.56/x
  3. Step 3: Cross multiply
    1,750.40x = 2,417.01 × 1,563.56
  4. Step 4: Simplify right side
    1,750.40x = 3,779,140.16
  5. Step 5: Solve for x
    x = 3,779,140.16/1,750.40
  6. Step 6: Final answer
    x = 2,159.02

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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.