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Finding the Fourth Proportional to 8,583.52, 12,798.40 and 8,428

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Solution

The fourth proportional to 8,583.52, 12,798.40 and 8,428 is: 12,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,583.52 : 12,798.40 = 8,428 : x
  2. Step 2: Convert to fraction form
    8,583.52/12,798.40 = 8,428/x
  3. Step 3: Cross multiply
    8,583.52x = 12,798.40 × 8,428
  4. Step 4: Simplify right side
    8,583.52x = 107,864,915.20
  5. Step 5: Solve for x
    x = 107,864,915.20/8,583.52
  6. Step 6: Final answer
    x = 12,566.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.