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Finding the Fourth Proportional to 6,442.16, 8,894.45 and 4,947.40

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Solution

The fourth proportional to 6,442.16, 8,894.45 and 4,947.40 is: 6,830.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.16 : 8,894.45 = 4,947.40 : x
  2. Step 2: Convert to fraction form
    6,442.16/8,894.45 = 4,947.40/x
  3. Step 3: Cross multiply
    6,442.16x = 8,894.45 × 4,947.40
  4. Step 4: Simplify right side
    6,442.16x = 44,004,373.51
  5. Step 5: Solve for x
    x = 44,004,373.51/6,442.16
  6. Step 6: Final answer
    x = 6,830.68

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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.