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Finding the Fourth Proportional to 6,465.74, 9,689.48 and 2,947.10

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Solution

The fourth proportional to 6,465.74, 9,689.48 and 2,947.10 is: 4,416.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.74 : 9,689.48 = 2,947.10 : x
  2. Step 2: Convert to fraction form
    6,465.74/9,689.48 = 2,947.10/x
  3. Step 3: Cross multiply
    6,465.74x = 9,689.48 × 2,947.10
  4. Step 4: Simplify right side
    6,465.74x = 28,555,866.51
  5. Step 5: Solve for x
    x = 28,555,866.51/6,465.74
  6. Step 6: Final answer
    x = 4,416.49

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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.