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Finding the Fourth Proportional to 6,646.97, 9,970.45 and 1,716.63

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Solution

The fourth proportional to 6,646.97, 9,970.45 and 1,716.63 is: 2,574.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.97 : 9,970.45 = 1,716.63 : x
  2. Step 2: Convert to fraction form
    6,646.97/9,970.45 = 1,716.63/x
  3. Step 3: Cross multiply
    6,646.97x = 9,970.45 × 1,716.63
  4. Step 4: Simplify right side
    6,646.97x = 17,115,569.29
  5. Step 5: Solve for x
    x = 17,115,569.29/6,646.97
  6. Step 6: Final answer
    x = 2,574.95

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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.