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Finding the Fourth Proportional to 7,382, 10,187.16 and 4,070

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Solution

The fourth proportional to 7,382, 10,187.16 and 4,070 is: 5,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382 : 10,187.16 = 4,070 : x
  2. Step 2: Convert to fraction form
    7,382/10,187.16 = 4,070/x
  3. Step 3: Cross multiply
    7,382x = 10,187.16 × 4,070
  4. Step 4: Simplify right side
    7,382x = 41,461,741.20
  5. Step 5: Solve for x
    x = 41,461,741.20/7,382
  6. Step 6: Final answer
    x = 5,616.60

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Why These Related Problems?

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