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Finding the Fourth Proportional to 2,904.30, 4,356.45 and 824.10

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Solution

The fourth proportional to 2,904.30, 4,356.45 and 824.10 is: 1,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,904.30 : 4,356.45 = 824.10 : x
  2. Step 2: Convert to fraction form
    2,904.30/4,356.45 = 824.10/x
  3. Step 3: Cross multiply
    2,904.30x = 4,356.45 × 824.10
  4. Step 4: Simplify right side
    2,904.30x = 3,590,150.45
  5. Step 5: Solve for x
    x = 3,590,150.45/2,904.30
  6. Step 6: Final answer
    x = 1,236.15

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1.5x scale

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.