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Finding the Fourth Proportional to 8,897.28, 13,345.90 and 8,356

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Solution

The fourth proportional to 8,897.28, 13,345.90 and 8,356 is: 12,533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.28 : 13,345.90 = 8,356 : x
  2. Step 2: Convert to fraction form
    8,897.28/13,345.90 = 8,356/x
  3. Step 3: Cross multiply
    8,897.28x = 13,345.90 × 8,356
  4. Step 4: Simplify right side
    8,897.28x = 111,518,340.40
  5. Step 5: Solve for x
    x = 111,518,340.40/8,897.28
  6. Step 6: Final answer
    x = 12,533.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.