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Finding the Fourth Proportional to 2,535, 3,498.38 and 1,415.99

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Solution

The fourth proportional to 2,535, 3,498.38 and 1,415.99 is: 1,954.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535 : 3,498.38 = 1,415.99 : x
  2. Step 2: Convert to fraction form
    2,535/3,498.38 = 1,415.99/x
  3. Step 3: Cross multiply
    2,535x = 3,498.38 × 1,415.99
  4. Step 4: Simplify right side
    2,535x = 4,953,646.52
  5. Step 5: Solve for x
    x = 4,953,646.52/2,535
  6. Step 6: Final answer
    x = 1,954.10

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1.5x scale

Why These Related Problems?

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