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Finding the Fourth Proportional to 10,643.13, 16,000.74 and 8,577.63

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Solution

The fourth proportional to 10,643.13, 16,000.74 and 8,577.63 is: 12,895.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.13 : 16,000.74 = 8,577.63 : x
  2. Step 2: Convert to fraction form
    10,643.13/16,000.74 = 8,577.63/x
  3. Step 3: Cross multiply
    10,643.13x = 16,000.74 × 8,577.63
  4. Step 4: Simplify right side
    10,643.13x = 137,248,427.45
  5. Step 5: Solve for x
    x = 137,248,427.45/10,643.13
  6. Step 6: Final answer
    x = 12,895.49

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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.