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Finding the Fourth Proportional to 4,280, 5,906.88 and 2,417.12

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Solution

The fourth proportional to 4,280, 5,906.88 and 2,417.12 is: 3,335.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,280 : 5,906.88 = 2,417.12 : x
  2. Step 2: Convert to fraction form
    4,280/5,906.88 = 2,417.12/x
  3. Step 3: Cross multiply
    4,280x = 5,906.88 × 2,417.12
  4. Step 4: Simplify right side
    4,280x = 14,277,637.79
  5. Step 5: Solve for x
    x = 14,277,637.79/4,280
  6. Step 6: Final answer
    x = 3,335.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.