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Finding the Fourth Proportional to 7,228.48, 9,971.04 and 4,432

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Solution

The fourth proportional to 7,228.48, 9,971.04 and 4,432 is: 6,113.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,228.48 : 9,971.04 = 4,432 : x
  2. Step 2: Convert to fraction form
    7,228.48/9,971.04 = 4,432/x
  3. Step 3: Cross multiply
    7,228.48x = 9,971.04 × 4,432
  4. Step 4: Simplify right side
    7,228.48x = 44,191,649.28
  5. Step 5: Solve for x
    x = 44,191,649.28/7,228.48
  6. Step 6: Final answer
    x = 6,113.55

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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.