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Finding the Fourth Proportional to 7,415.40, 10,222.62 and 4,580.88

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Solution

The fourth proportional to 7,415.40, 10,222.62 and 4,580.88 is: 6,315.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,415.40 : 10,222.62 = 4,580.88 : x
  2. Step 2: Convert to fraction form
    7,415.40/10,222.62 = 4,580.88/x
  3. Step 3: Cross multiply
    7,415.40x = 10,222.62 × 4,580.88
  4. Step 4: Simplify right side
    7,415.40x = 46,828,595.51
  5. Step 5: Solve for x
    x = 46,828,595.51/7,415.40
  6. Step 6: Final answer
    x = 6,315.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.