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Finding the Fourth Proportional to 7,547.51, 10,415.59 and 4,190.33

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Solution

The fourth proportional to 7,547.51, 10,415.59 and 4,190.33 is: 5,782.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.51 : 10,415.59 = 4,190.33 : x
  2. Step 2: Convert to fraction form
    7,547.51/10,415.59 = 4,190.33/x
  3. Step 3: Cross multiply
    7,547.51x = 10,415.59 × 4,190.33
  4. Step 4: Simplify right side
    7,547.51x = 43,644,774.81
  5. Step 5: Solve for x
    x = 43,644,774.81/7,547.51
  6. Step 6: Final answer
    x = 5,782.67

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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.