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Finding the Fourth Proportional to 7,146.81, 9,867.51 and 4,459.10

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Solution

The fourth proportional to 7,146.81, 9,867.51 and 4,459.10 is: 6,156.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.81 : 9,867.51 = 4,459.10 : x
  2. Step 2: Convert to fraction form
    7,146.81/9,867.51 = 4,459.10/x
  3. Step 3: Cross multiply
    7,146.81x = 9,867.51 × 4,459.10
  4. Step 4: Simplify right side
    7,146.81x = 44,000,164.50
  5. Step 5: Solve for x
    x = 44,000,164.50/7,146.81
  6. Step 6: Final answer
    x = 6,156.62

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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.