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Finding the Fourth Proportional to 4,737.64, 7,106.48 and 3,094.96

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Solution

The fourth proportional to 4,737.64, 7,106.48 and 3,094.96 is: 4,642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,737.64 : 7,106.48 = 3,094.96 : x
  2. Step 2: Convert to fraction form
    4,737.64/7,106.48 = 3,094.96/x
  3. Step 3: Cross multiply
    4,737.64x = 7,106.48 × 3,094.96
  4. Step 4: Simplify right side
    4,737.64x = 21,994,271.34
  5. Step 5: Solve for x
    x = 21,994,271.34/4,737.64
  6. Step 6: Final answer
    x = 4,642.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.