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Finding the Fourth Proportional to 2,347.19, 3,521 and 615.81

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Solution

The fourth proportional to 2,347.19, 3,521 and 615.81 is: 923.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,347.19 : 3,521 = 615.81 : x
  2. Step 2: Convert to fraction form
    2,347.19/3,521 = 615.81/x
  3. Step 3: Cross multiply
    2,347.19x = 3,521 × 615.81
  4. Step 4: Simplify right side
    2,347.19x = 2,168,267.01
  5. Step 5: Solve for x
    x = 2,168,267.01/2,347.19
  6. Step 6: Final answer
    x = 923.77

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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.