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Finding the Fourth Proportional to 14,700.16, 20,290.08 and 9,115.84

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Solution

The fourth proportional to 14,700.16, 20,290.08 and 9,115.84 is: 12,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,700.16 : 20,290.08 = 9,115.84 : x
  2. Step 2: Convert to fraction form
    14,700.16/20,290.08 = 9,115.84/x
  3. Step 3: Cross multiply
    14,700.16x = 20,290.08 × 9,115.84
  4. Step 4: Simplify right side
    14,700.16x = 184,961,122.87
  5. Step 5: Solve for x
    x = 184,961,122.87/14,700.16
  6. Step 6: Final answer
    x = 12,582.25

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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.