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Finding the Fourth Proportional to 8,931.34, 12,316.49 and 8,225.02

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Solution

The fourth proportional to 8,931.34, 12,316.49 and 8,225.02 is: 11,342.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.34 : 12,316.49 = 8,225.02 : x
  2. Step 2: Convert to fraction form
    8,931.34/12,316.49 = 8,225.02/x
  3. Step 3: Cross multiply
    8,931.34x = 12,316.49 × 8,225.02
  4. Step 4: Simplify right side
    8,931.34x = 101,303,335.45
  5. Step 5: Solve for x
    x = 101,303,335.45/8,931.34
  6. Step 6: Final answer
    x = 11,342.46

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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.