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Finding the Fourth Proportional to 9,347.76, 12,906 and 7,219.53

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Solution

The fourth proportional to 9,347.76, 12,906 and 7,219.53 is: 9,967.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347.76 : 12,906 = 7,219.53 : x
  2. Step 2: Convert to fraction form
    9,347.76/12,906 = 7,219.53/x
  3. Step 3: Cross multiply
    9,347.76x = 12,906 × 7,219.53
  4. Step 4: Simplify right side
    9,347.76x = 93,175,254.18
  5. Step 5: Solve for x
    x = 93,175,254.18/9,347.76
  6. Step 6: Final answer
    x = 9,967.66

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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.