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Finding the Fourth Proportional to 12,045.60, 18,071.10 and 4,649.40

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Solution

The fourth proportional to 12,045.60, 18,071.10 and 4,649.40 is: 6,975.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,045.60 : 18,071.10 = 4,649.40 : x
  2. Step 2: Convert to fraction form
    12,045.60/18,071.10 = 4,649.40/x
  3. Step 3: Cross multiply
    12,045.60x = 18,071.10 × 4,649.40
  4. Step 4: Simplify right side
    12,045.60x = 84,019,772.34
  5. Step 5: Solve for x
    x = 84,019,772.34/12,045.60
  6. Step 6: Final answer
    x = 6,975.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.