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Finding the Fourth Proportional to 7,547.84, 10,416.35 and 4,190.65

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Solution

The fourth proportional to 7,547.84, 10,416.35 and 4,190.65 is: 5,783.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,547.84 : 10,416.35 = 4,190.65 : x
  2. Step 2: Convert to fraction form
    7,547.84/10,416.35 = 4,190.65/x
  3. Step 3: Cross multiply
    7,547.84x = 10,416.35 × 4,190.65
  4. Step 4: Simplify right side
    7,547.84x = 43,651,295.24
  5. Step 5: Solve for x
    x = 43,651,295.24/7,547.84
  6. Step 6: Final answer
    x = 5,783.28

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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.