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Finding the Fourth Proportional to 11,455.46, 15,809.64 and 6,420.53

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Solution

The fourth proportional to 11,455.46, 15,809.64 and 6,420.53 is: 8,860.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,455.46 : 15,809.64 = 6,420.53 : x
  2. Step 2: Convert to fraction form
    11,455.46/15,809.64 = 6,420.53/x
  3. Step 3: Cross multiply
    11,455.46x = 15,809.64 × 6,420.53
  4. Step 4: Simplify right side
    11,455.46x = 101,506,156.76
  5. Step 5: Solve for x
    x = 101,506,156.76/11,455.46
  6. Step 6: Final answer
    x = 8,860.95

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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.