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Finding the Fourth Proportional to 1,495.20, 2,226.02 and 1,488

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Solution

The fourth proportional to 1,495.20, 2,226.02 and 1,488 is: 2,215.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,495.20 : 2,226.02 = 1,488 : x
  2. Step 2: Convert to fraction form
    1,495.20/2,226.02 = 1,488/x
  3. Step 3: Cross multiply
    1,495.20x = 2,226.02 × 1,488
  4. Step 4: Simplify right side
    1,495.20x = 3,312,317.76
  5. Step 5: Solve for x
    x = 3,312,317.76/1,495.20
  6. Step 6: Final answer
    x = 2,215.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.