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Finding the Fourth Proportional to 3,535, 5,300.16 and 1,686.40

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Solution

The fourth proportional to 3,535, 5,300.16 and 1,686.40 is: 2,528.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535 : 5,300.16 = 1,686.40 : x
  2. Step 2: Convert to fraction form
    3,535/5,300.16 = 1,686.40/x
  3. Step 3: Cross multiply
    3,535x = 5,300.16 × 1,686.40
  4. Step 4: Simplify right side
    3,535x = 8,938,189.82
  5. Step 5: Solve for x
    x = 8,938,189.82/3,535
  6. Step 6: Final answer
    x = 2,528.48

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Why These Related Problems?

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