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Finding the Fourth Proportional to 7,214.60, 9,948.12 and 5,917.15

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Solution

The fourth proportional to 7,214.60, 9,948.12 and 5,917.15 is: 8,159.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.60 : 9,948.12 = 5,917.15 : x
  2. Step 2: Convert to fraction form
    7,214.60/9,948.12 = 5,917.15/x
  3. Step 3: Cross multiply
    7,214.60x = 9,948.12 × 5,917.15
  4. Step 4: Simplify right side
    7,214.60x = 58,864,508.50
  5. Step 5: Solve for x
    x = 58,864,508.50/7,214.60
  6. Step 6: Final answer
    x = 8,159.08

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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.