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Finding the Fourth Proportional to 5,792, 8,689.60 and 1,688

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Solution

The fourth proportional to 5,792, 8,689.60 and 1,688 is: 2,532.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792 : 8,689.60 = 1,688 : x
  2. Step 2: Convert to fraction form
    5,792/8,689.60 = 1,688/x
  3. Step 3: Cross multiply
    5,792x = 8,689.60 × 1,688
  4. Step 4: Simplify right side
    5,792x = 14,668,044.80
  5. Step 5: Solve for x
    x = 14,668,044.80/5,792
  6. Step 6: Final answer
    x = 2,532.47

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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.