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Finding the Fourth Proportional to 7,148.70, 9,856.63 and 6,152.27

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Solution

The fourth proportional to 7,148.70, 9,856.63 and 6,152.27 is: 8,482.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.70 : 9,856.63 = 6,152.27 : x
  2. Step 2: Convert to fraction form
    7,148.70/9,856.63 = 6,152.27/x
  3. Step 3: Cross multiply
    7,148.70x = 9,856.63 × 6,152.27
  4. Step 4: Simplify right side
    7,148.70x = 60,640,569.01
  5. Step 5: Solve for x
    x = 60,640,569.01/7,148.70
  6. Step 6: Final answer
    x = 8,482.74

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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.