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Finding the Fourth Proportional to 12,148.60, 16,765.10 and 7,045.10

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Solution

The fourth proportional to 12,148.60, 16,765.10 and 7,045.10 is: 9,722.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,148.60 : 16,765.10 = 7,045.10 : x
  2. Step 2: Convert to fraction form
    12,148.60/16,765.10 = 7,045.10/x
  3. Step 3: Cross multiply
    12,148.60x = 16,765.10 × 7,045.10
  4. Step 4: Simplify right side
    12,148.60x = 118,111,770.78
  5. Step 5: Solve for x
    x = 118,111,770.78/12,148.60
  6. Step 6: Final answer
    x = 9,722.26

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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.