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Finding the Fourth Proportional to 10,897.17, 15,045.81 and 8,509.83

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Solution

The fourth proportional to 10,897.17, 15,045.81 and 8,509.83 is: 11,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.17 : 15,045.81 = 8,509.83 : x
  2. Step 2: Convert to fraction form
    10,897.17/15,045.81 = 8,509.83/x
  3. Step 3: Cross multiply
    10,897.17x = 15,045.81 × 8,509.83
  4. Step 4: Simplify right side
    10,897.17x = 128,037,285.31
  5. Step 5: Solve for x
    x = 128,037,285.31/10,897.17
  6. Step 6: Final answer
    x = 11,749.59

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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.