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Finding the Fourth Proportional to 1,615.52, 2,407.04 and 1,509.44

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Solution

The fourth proportional to 1,615.52, 2,407.04 and 1,509.44 is: 2,248.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,615.52 : 2,407.04 = 1,509.44 : x
  2. Step 2: Convert to fraction form
    1,615.52/2,407.04 = 1,509.44/x
  3. Step 3: Cross multiply
    1,615.52x = 2,407.04 × 1,509.44
  4. Step 4: Simplify right side
    1,615.52x = 3,633,272.78
  5. Step 5: Solve for x
    x = 3,633,272.78/1,615.52
  6. Step 6: Final answer
    x = 2,248.98

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1.5x scale

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.