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Finding the Fourth Proportional to 9,670.48, 13,346 and 5,421.93

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Solution

The fourth proportional to 9,670.48, 13,346 and 5,421.93 is: 7,482.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,670.48 : 13,346 = 5,421.93 : x
  2. Step 2: Convert to fraction form
    9,670.48/13,346 = 5,421.93/x
  3. Step 3: Cross multiply
    9,670.48x = 13,346 × 5,421.93
  4. Step 4: Simplify right side
    9,670.48x = 72,361,077.78
  5. Step 5: Solve for x
    x = 72,361,077.78/9,670.48
  6. Step 6: Final answer
    x = 7,482.68

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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.