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Finding the Fourth Proportional to 7,347, 10,134.86 and 4,653.30

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Solution

The fourth proportional to 7,347, 10,134.86 and 4,653.30 is: 6,419.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,347 : 10,134.86 = 4,653.30 : x
  2. Step 2: Convert to fraction form
    7,347/10,134.86 = 4,653.30/x
  3. Step 3: Cross multiply
    7,347x = 10,134.86 × 4,653.30
  4. Step 4: Simplify right side
    7,347x = 47,160,544.04
  5. Step 5: Solve for x
    x = 47,160,544.04/7,347
  6. Step 6: Final answer
    x = 6,419.02

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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.