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Finding the Fourth Proportional to 1,646.86, 2,470.32 and 921.08

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Solution

The fourth proportional to 1,646.86, 2,470.32 and 921.08 is: 1,381.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646.86 : 2,470.32 = 921.08 : x
  2. Step 2: Convert to fraction form
    1,646.86/2,470.32 = 921.08/x
  3. Step 3: Cross multiply
    1,646.86x = 2,470.32 × 921.08
  4. Step 4: Simplify right side
    1,646.86x = 2,275,362.35
  5. Step 5: Solve for x
    x = 2,275,362.35/1,646.86
  6. Step 6: Final answer
    x = 1,381.64

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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.