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Finding the Fourth Proportional to 9,893.88, 13,657.95 and 6,313.68

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Solution

The fourth proportional to 9,893.88, 13,657.95 and 6,313.68 is: 8,715.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.88 : 13,657.95 = 6,313.68 : x
  2. Step 2: Convert to fraction form
    9,893.88/13,657.95 = 6,313.68/x
  3. Step 3: Cross multiply
    9,893.88x = 13,657.95 × 6,313.68
  4. Step 4: Simplify right side
    9,893.88x = 86,231,925.76
  5. Step 5: Solve for x
    x = 86,231,925.76/9,893.88
  6. Step 6: Final answer
    x = 8,715.68

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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.