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Finding the Fourth Proportional to 7,332, 10,118.16 and 4,020

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Solution

The fourth proportional to 7,332, 10,118.16 and 4,020 is: 5,547.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332 : 10,118.16 = 4,020 : x
  2. Step 2: Convert to fraction form
    7,332/10,118.16 = 4,020/x
  3. Step 3: Cross multiply
    7,332x = 10,118.16 × 4,020
  4. Step 4: Simplify right side
    7,332x = 40,675,003.20
  5. Step 5: Solve for x
    x = 40,675,003.20/7,332
  6. Step 6: Final answer
    x = 5,547.60

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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.