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Finding the Fourth Proportional to 8,407.70, 12,607.32 and 4,898.84

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Solution

The fourth proportional to 8,407.70, 12,607.32 and 4,898.84 is: 7,345.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,407.70 : 12,607.32 = 4,898.84 : x
  2. Step 2: Convert to fraction form
    8,407.70/12,607.32 = 4,898.84/x
  3. Step 3: Cross multiply
    8,407.70x = 12,607.32 × 4,898.84
  4. Step 4: Simplify right side
    8,407.70x = 61,761,243.51
  5. Step 5: Solve for x
    x = 61,761,243.51/8,407.70
  6. Step 6: Final answer
    x = 7,345.80

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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.