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Finding the Fourth Proportional to 9,050, 12,490 and 5,071.48

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Solution

The fourth proportional to 9,050, 12,490 and 5,071.48 is: 6,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,050 : 12,490 = 5,071.48 : x
  2. Step 2: Convert to fraction form
    9,050/12,490 = 5,071.48/x
  3. Step 3: Cross multiply
    9,050x = 12,490 × 5,071.48
  4. Step 4: Simplify right side
    9,050x = 63,342,785.20
  5. Step 5: Solve for x
    x = 63,342,785.20/9,050
  6. Step 6: Final answer
    x = 6,999.20

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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.