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Finding the Fourth Proportional to 9,858.78, 13,603.86 and 6,508.08

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Solution

The fourth proportional to 9,858.78, 13,603.86 and 6,508.08 is: 8,980.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,858.78 : 13,603.86 = 6,508.08 : x
  2. Step 2: Convert to fraction form
    9,858.78/13,603.86 = 6,508.08/x
  3. Step 3: Cross multiply
    9,858.78x = 13,603.86 × 6,508.08
  4. Step 4: Simplify right side
    9,858.78x = 88,535,009.19
  5. Step 5: Solve for x
    x = 88,535,009.19/9,858.78
  6. Step 6: Final answer
    x = 8,980.32

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1.5x scale

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.