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Finding the Fourth Proportional to 3,535, 5,303.18 and 1,345.26

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Solution

The fourth proportional to 3,535, 5,303.18 and 1,345.26 is: 2,018.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535 : 5,303.18 = 1,345.26 : x
  2. Step 2: Convert to fraction form
    3,535/5,303.18 = 1,345.26/x
  3. Step 3: Cross multiply
    3,535x = 5,303.18 × 1,345.26
  4. Step 4: Simplify right side
    3,535x = 7,134,155.93
  5. Step 5: Solve for x
    x = 7,134,155.93/3,535
  6. Step 6: Final answer
    x = 2,018.15

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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.