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Finding the Fourth Proportional to 9,147, 12,622.88 and 4,955.28

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Solution

The fourth proportional to 9,147, 12,622.88 and 4,955.28 is: 6,838.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147 : 12,622.88 = 4,955.28 : x
  2. Step 2: Convert to fraction form
    9,147/12,622.88 = 4,955.28/x
  3. Step 3: Cross multiply
    9,147x = 12,622.88 × 4,955.28
  4. Step 4: Simplify right side
    9,147x = 62,549,904.81
  5. Step 5: Solve for x
    x = 62,549,904.81/9,147
  6. Step 6: Final answer
    x = 6,838.30

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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.