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Finding the Fourth Proportional to 5,637, 7,779.06 and 3,153

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Solution

The fourth proportional to 5,637, 7,779.06 and 3,153 is: 4,351.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,637 : 7,779.06 = 3,153 : x
  2. Step 2: Convert to fraction form
    5,637/7,779.06 = 3,153/x
  3. Step 3: Cross multiply
    5,637x = 7,779.06 × 3,153
  4. Step 4: Simplify right side
    5,637x = 24,527,376.18
  5. Step 5: Solve for x
    x = 24,527,376.18/5,637
  6. Step 6: Final answer
    x = 4,351.14

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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.