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Finding the Fourth Proportional to 11,280, 15,566.46 and 6,312

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Solution

The fourth proportional to 11,280, 15,566.46 and 6,312 is: 8,710.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,280 : 15,566.46 = 6,312 : x
  2. Step 2: Convert to fraction form
    11,280/15,566.46 = 6,312/x
  3. Step 3: Cross multiply
    11,280x = 15,566.46 × 6,312
  4. Step 4: Simplify right side
    11,280x = 98,255,495.52
  5. Step 5: Solve for x
    x = 98,255,495.52/11,280
  6. Step 6: Final answer
    x = 8,710.59

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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.