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Finding the Fourth Proportional to 9,642.88, 13,303.25 and 6,284.47

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Solution

The fourth proportional to 9,642.88, 13,303.25 and 6,284.47 is: 8,670.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.88 : 13,303.25 = 6,284.47 : x
  2. Step 2: Convert to fraction form
    9,642.88/13,303.25 = 6,284.47/x
  3. Step 3: Cross multiply
    9,642.88x = 13,303.25 × 6,284.47
  4. Step 4: Simplify right side
    9,642.88x = 83,603,875.53
  5. Step 5: Solve for x
    x = 83,603,875.53/9,642.88
  6. Step 6: Final answer
    x = 8,670.01

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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.