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Finding the Fourth Proportional to 4,417.40, 6,398.75 and 4,417.40

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Solution

The fourth proportional to 4,417.40, 6,398.75 and 4,417.40 is: 6,398.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.40 : 6,398.75 = 4,417.40 : x
  2. Step 2: Convert to fraction form
    4,417.40/6,398.75 = 4,417.40/x
  3. Step 3: Cross multiply
    4,417.40x = 6,398.75 × 4,417.40
  4. Step 4: Simplify right side
    4,417.40x = 28,265,838.25
  5. Step 5: Solve for x
    x = 28,265,838.25/4,417.40
  6. Step 6: Final answer
    x = 6,398.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.