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Finding the Fourth Proportional to 7,865.63, 10,831.14 and 7,691.01

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Solution

The fourth proportional to 7,865.63, 10,831.14 and 7,691.01 is: 10,590.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,865.63 : 10,831.14 = 7,691.01 : x
  2. Step 2: Convert to fraction form
    7,865.63/10,831.14 = 7,691.01/x
  3. Step 3: Cross multiply
    7,865.63x = 10,831.14 × 7,691.01
  4. Step 4: Simplify right side
    7,865.63x = 83,302,406.05
  5. Step 5: Solve for x
    x = 83,302,406.05/7,865.63
  6. Step 6: Final answer
    x = 10,590.68

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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.