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Finding the Fourth Proportional to 9,242.80, 12,755 and 5,051.04

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Solution

The fourth proportional to 9,242.80, 12,755 and 5,051.04 is: 6,970.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.80 : 12,755 = 5,051.04 : x
  2. Step 2: Convert to fraction form
    9,242.80/12,755 = 5,051.04/x
  3. Step 3: Cross multiply
    9,242.80x = 12,755 × 5,051.04
  4. Step 4: Simplify right side
    9,242.80x = 64,426,015.20
  5. Step 5: Solve for x
    x = 64,426,015.20/9,242.80
  6. Step 6: Final answer
    x = 6,970.40

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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.