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Finding the Fourth Proportional to 3,547.77, 5,312.21 and 3,132.51

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Solution

The fourth proportional to 3,547.77, 5,312.21 and 3,132.51 is: 4,690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,547.77 : 5,312.21 = 3,132.51 : x
  2. Step 2: Convert to fraction form
    3,547.77/5,312.21 = 3,132.51/x
  3. Step 3: Cross multiply
    3,547.77x = 5,312.21 × 3,132.51
  4. Step 4: Simplify right side
    3,547.77x = 16,640,535.28
  5. Step 5: Solve for x
    x = 16,640,535.28/3,547.77
  6. Step 6: Final answer
    x = 4,690.42

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