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Finding the Fourth Proportional to 9,856.55, 13,602.05 and 6,319.76

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Solution

The fourth proportional to 9,856.55, 13,602.05 and 6,319.76 is: 8,721.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.55 : 13,602.05 = 6,319.76 : x
  2. Step 2: Convert to fraction form
    9,856.55/13,602.05 = 6,319.76/x
  3. Step 3: Cross multiply
    9,856.55x = 13,602.05 × 6,319.76
  4. Step 4: Simplify right side
    9,856.55x = 85,961,666.61
  5. Step 5: Solve for x
    x = 85,961,666.61/9,856.55
  6. Step 6: Final answer
    x = 8,721.27

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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.