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Finding the Fourth Proportional to 7,460, 10,294.85 and 4,102.71

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Solution

The fourth proportional to 7,460, 10,294.85 and 4,102.71 is: 5,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,460 : 10,294.85 = 4,102.71 : x
  2. Step 2: Convert to fraction form
    7,460/10,294.85 = 4,102.71/x
  3. Step 3: Cross multiply
    7,460x = 10,294.85 × 4,102.71
  4. Step 4: Simplify right side
    7,460x = 42,236,784.04
  5. Step 5: Solve for x
    x = 42,236,784.04/7,460
  6. Step 6: Final answer
    x = 5,661.77

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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.