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Finding the Fourth Proportional to 7,948.04, 10,946.12 and 7,775.84

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Solution

The fourth proportional to 7,948.04, 10,946.12 and 7,775.84 is: 10,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,948.04 : 10,946.12 = 7,775.84 : x
  2. Step 2: Convert to fraction form
    7,948.04/10,946.12 = 7,775.84/x
  3. Step 3: Cross multiply
    7,948.04x = 10,946.12 × 7,775.84
  4. Step 4: Simplify right side
    7,948.04x = 85,115,277.74
  5. Step 5: Solve for x
    x = 85,115,277.74/7,948.04
  6. Step 6: Final answer
    x = 10,708.96

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Double scale
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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.