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Finding the Fourth Proportional to 10,967.68, 15,135.35 and 5,931.90

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Solution

The fourth proportional to 10,967.68, 15,135.35 and 5,931.90 is: 8,186.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,967.68 : 15,135.35 = 5,931.90 : x
  2. Step 2: Convert to fraction form
    10,967.68/15,135.35 = 5,931.90/x
  3. Step 3: Cross multiply
    10,967.68x = 15,135.35 × 5,931.90
  4. Step 4: Simplify right side
    10,967.68x = 89,781,405.67
  5. Step 5: Solve for x
    x = 89,781,405.67/10,967.68
  6. Step 6: Final answer
    x = 8,186.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.