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Finding the Fourth Proportional to 3,888.42, 5,829.43 and 1,547.41

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Solution

The fourth proportional to 3,888.42, 5,829.43 and 1,547.41 is: 2,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.42 : 5,829.43 = 1,547.41 : x
  2. Step 2: Convert to fraction form
    3,888.42/5,829.43 = 1,547.41/x
  3. Step 3: Cross multiply
    3,888.42x = 5,829.43 × 1,547.41
  4. Step 4: Simplify right side
    3,888.42x = 9,020,518.28
  5. Step 5: Solve for x
    x = 9,020,518.28/3,888.42
  6. Step 6: Final answer
    x = 2,319.84

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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.