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Finding the Fourth Proportional to 7,332.10, 10,998 and 1,785.47

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Solution

The fourth proportional to 7,332.10, 10,998 and 1,785.47 is: 2,678.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,332.10 : 10,998 = 1,785.47 : x
  2. Step 2: Convert to fraction form
    7,332.10/10,998 = 1,785.47/x
  3. Step 3: Cross multiply
    7,332.10x = 10,998 × 1,785.47
  4. Step 4: Simplify right side
    7,332.10x = 19,636,544.07
  5. Step 5: Solve for x
    x = 19,636,544.07/7,332.10
  6. Step 6: Final answer
    x = 2,678.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.