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Finding the Fourth Proportional to 6,643.86, 9,158.93 and 4,648.18

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Solution

The fourth proportional to 6,643.86, 9,158.93 and 4,648.18 is: 6,407.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,643.86 : 9,158.93 = 4,648.18 : x
  2. Step 2: Convert to fraction form
    6,643.86/9,158.93 = 4,648.18/x
  3. Step 3: Cross multiply
    6,643.86x = 9,158.93 × 4,648.18
  4. Step 4: Simplify right side
    6,643.86x = 42,572,355.25
  5. Step 5: Solve for x
    x = 42,572,355.25/6,643.86
  6. Step 6: Final answer
    x = 6,407.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.