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Finding the Fourth Proportional to 9,312.87, 12,853.08 and 5,777.22

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Solution

The fourth proportional to 9,312.87, 12,853.08 and 5,777.22 is: 7,973.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,312.87 : 12,853.08 = 5,777.22 : x
  2. Step 2: Convert to fraction form
    9,312.87/12,853.08 = 5,777.22/x
  3. Step 3: Cross multiply
    9,312.87x = 12,853.08 × 5,777.22
  4. Step 4: Simplify right side
    9,312.87x = 74,255,070.84
  5. Step 5: Solve for x
    x = 74,255,070.84/9,312.87
  6. Step 6: Final answer
    x = 7,973.38

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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.