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Finding the Fourth Proportional to 2,535, 3,498.24 and 1,788.16

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Solution

The fourth proportional to 2,535, 3,498.24 and 1,788.16 is: 2,467.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,535 : 3,498.24 = 1,788.16 : x
  2. Step 2: Convert to fraction form
    2,535/3,498.24 = 1,788.16/x
  3. Step 3: Cross multiply
    2,535x = 3,498.24 × 1,788.16
  4. Step 4: Simplify right side
    2,535x = 6,255,412.84
  5. Step 5: Solve for x
    x = 6,255,412.84/2,535
  6. Step 6: Final answer
    x = 2,467.62

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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.