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Finding the Fourth Proportional to 8,660, 11,957.20 and 5,307.40

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Solution

The fourth proportional to 8,660, 11,957.20 and 5,307.40 is: 7,328.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,660 : 11,957.20 = 5,307.40 : x
  2. Step 2: Convert to fraction form
    8,660/11,957.20 = 5,307.40/x
  3. Step 3: Cross multiply
    8,660x = 11,957.20 × 5,307.40
  4. Step 4: Simplify right side
    8,660x = 63,461,643.28
  5. Step 5: Solve for x
    x = 63,461,643.28/8,660
  6. Step 6: Final answer
    x = 7,328.13

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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.