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Finding the Fourth Proportional to 9,291.30, 12,822.06 and 5,312.46

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Solution

The fourth proportional to 9,291.30, 12,822.06 and 5,312.46 is: 7,331.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.30 : 12,822.06 = 5,312.46 : x
  2. Step 2: Convert to fraction form
    9,291.30/12,822.06 = 5,312.46/x
  3. Step 3: Cross multiply
    9,291.30x = 12,822.06 × 5,312.46
  4. Step 4: Simplify right side
    9,291.30x = 68,116,680.87
  5. Step 5: Solve for x
    x = 68,116,680.87/9,291.30
  6. Step 6: Final answer
    x = 7,331.23

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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.