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Finding the Fourth Proportional to 2,376.86, 3,565.28 and 645.48

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Solution

The fourth proportional to 2,376.86, 3,565.28 and 645.48 is: 968.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,376.86 : 3,565.28 = 645.48 : x
  2. Step 2: Convert to fraction form
    2,376.86/3,565.28 = 645.48/x
  3. Step 3: Cross multiply
    2,376.86x = 3,565.28 × 645.48
  4. Step 4: Simplify right side
    2,376.86x = 2,301,313.71
  5. Step 5: Solve for x
    x = 2,301,313.71/2,376.86
  6. Step 6: Final answer
    x = 968.22

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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.