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Finding the Fourth Proportional to 12,114.88, 16,720.08 and 7,398.16

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Solution

The fourth proportional to 12,114.88, 16,720.08 and 7,398.16 is: 10,210.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.88 : 16,720.08 = 7,398.16 : x
  2. Step 2: Convert to fraction form
    12,114.88/16,720.08 = 7,398.16/x
  3. Step 3: Cross multiply
    12,114.88x = 16,720.08 × 7,398.16
  4. Step 4: Simplify right side
    12,114.88x = 123,697,827.05
  5. Step 5: Solve for x
    x = 123,697,827.05/12,114.88
  6. Step 6: Final answer
    x = 10,210.40

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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.