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Finding the Fourth Proportional to 1,752.60, 2,628.90 and 1,315.20

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Solution

The fourth proportional to 1,752.60, 2,628.90 and 1,315.20 is: 1,972.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752.60 : 2,628.90 = 1,315.20 : x
  2. Step 2: Convert to fraction form
    1,752.60/2,628.90 = 1,315.20/x
  3. Step 3: Cross multiply
    1,752.60x = 2,628.90 × 1,315.20
  4. Step 4: Simplify right side
    1,752.60x = 3,457,529.28
  5. Step 5: Solve for x
    x = 3,457,529.28/1,752.60
  6. Step 6: Final answer
    x = 1,972.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.