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Finding the Fourth Proportional to 2,948.63, 4,423.64 and 868.66

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Solution

The fourth proportional to 2,948.63, 4,423.64 and 868.66 is: 1,303.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,948.63 : 4,423.64 = 868.66 : x
  2. Step 2: Convert to fraction form
    2,948.63/4,423.64 = 868.66/x
  3. Step 3: Cross multiply
    2,948.63x = 4,423.64 × 868.66
  4. Step 4: Simplify right side
    2,948.63x = 3,842,623.72
  5. Step 5: Solve for x
    x = 3,842,623.72/2,948.63
  6. Step 6: Final answer
    x = 1,303.19

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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.