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Finding the Fourth Proportional to 8,637.84, 12,898.31 and 7,575.80

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Solution

The fourth proportional to 8,637.84, 12,898.31 and 7,575.80 is: 11,312.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,637.84 : 12,898.31 = 7,575.80 : x
  2. Step 2: Convert to fraction form
    8,637.84/12,898.31 = 7,575.80/x
  3. Step 3: Cross multiply
    8,637.84x = 12,898.31 × 7,575.80
  4. Step 4: Simplify right side
    8,637.84x = 97,714,914.53
  5. Step 5: Solve for x
    x = 97,714,914.53/8,637.84
  6. Step 6: Final answer
    x = 11,312.42

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.