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Finding the Fourth Proportional to 4,643.40, 6,965.13 and 1,358.78

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Solution

The fourth proportional to 4,643.40, 6,965.13 and 1,358.78 is: 2,038.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,643.40 : 6,965.13 = 1,358.78 : x
  2. Step 2: Convert to fraction form
    4,643.40/6,965.13 = 1,358.78/x
  3. Step 3: Cross multiply
    4,643.40x = 6,965.13 × 1,358.78
  4. Step 4: Simplify right side
    4,643.40x = 9,464,079.34
  5. Step 5: Solve for x
    x = 9,464,079.34/4,643.40
  6. Step 6: Final answer
    x = 2,038.18

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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.