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Finding the Fourth Proportional to 8,931.84, 12,317.17 and 8,225.52

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Solution

The fourth proportional to 8,931.84, 12,317.17 and 8,225.52 is: 11,343.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.84 : 12,317.17 = 8,225.52 : x
  2. Step 2: Convert to fraction form
    8,931.84/12,317.17 = 8,225.52/x
  3. Step 3: Cross multiply
    8,931.84x = 12,317.17 × 8,225.52
  4. Step 4: Simplify right side
    8,931.84x = 101,315,128.18
  5. Step 5: Solve for x
    x = 101,315,128.18/8,931.84
  6. Step 6: Final answer
    x = 11,343.14

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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.