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Finding the Fourth Proportional to 6,458.13, 9,686.07 and 2,947.32

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Solution

The fourth proportional to 6,458.13, 9,686.07 and 2,947.32 is: 4,420.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.13 : 9,686.07 = 2,947.32 : x
  2. Step 2: Convert to fraction form
    6,458.13/9,686.07 = 2,947.32/x
  3. Step 3: Cross multiply
    6,458.13x = 9,686.07 × 2,947.32
  4. Step 4: Simplify right side
    6,458.13x = 28,547,947.83
  5. Step 5: Solve for x
    x = 28,547,947.83/6,458.13
  6. Step 6: Final answer
    x = 4,420.47

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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.