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Finding the Fourth Proportional to 10,643.95, 14,686.94 and 6,166.90

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Solution

The fourth proportional to 10,643.95, 14,686.94 and 6,166.90 is: 8,509.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.95 : 14,686.94 = 6,166.90 : x
  2. Step 2: Convert to fraction form
    10,643.95/14,686.94 = 6,166.90/x
  3. Step 3: Cross multiply
    10,643.95x = 14,686.94 × 6,166.90
  4. Step 4: Simplify right side
    10,643.95x = 90,572,786.02
  5. Step 5: Solve for x
    x = 90,572,786.02/10,643.95
  6. Step 6: Final answer
    x = 8,509.32

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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.