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Finding the Fourth Proportional to 9,064.71, 13,557.38 and 8,400.51

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Solution

The fourth proportional to 9,064.71, 13,557.38 and 8,400.51 is: 12,563.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,064.71 : 13,557.38 = 8,400.51 : x
  2. Step 2: Convert to fraction form
    9,064.71/13,557.38 = 8,400.51/x
  3. Step 3: Cross multiply
    9,064.71x = 13,557.38 × 8,400.51
  4. Step 4: Simplify right side
    9,064.71x = 113,888,864.26
  5. Step 5: Solve for x
    x = 113,888,864.26/9,064.71
  6. Step 6: Final answer
    x = 12,563.98

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