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Finding the Fourth Proportional to 9,291.84, 12,820.68 and 5,312.22

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Solution

The fourth proportional to 9,291.84, 12,820.68 and 5,312.22 is: 7,329.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.84 : 12,820.68 = 5,312.22 : x
  2. Step 2: Convert to fraction form
    9,291.84/12,820.68 = 5,312.22/x
  3. Step 3: Cross multiply
    9,291.84x = 12,820.68 × 5,312.22
  4. Step 4: Simplify right side
    9,291.84x = 68,106,272.71
  5. Step 5: Solve for x
    x = 68,106,272.71/9,291.84
  6. Step 6: Final answer
    x = 7,329.69

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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.