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Finding the Fourth Proportional to 10,113, 13,957.38 and 9,670.20

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Solution

The fourth proportional to 10,113, 13,957.38 and 9,670.20 is: 13,346.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,113 : 13,957.38 = 9,670.20 : x
  2. Step 2: Convert to fraction form
    10,113/13,957.38 = 9,670.20/x
  3. Step 3: Cross multiply
    10,113x = 13,957.38 × 9,670.20
  4. Step 4: Simplify right side
    10,113x = 134,970,656.08
  5. Step 5: Solve for x
    x = 134,970,656.08/10,113
  6. Step 6: Final answer
    x = 13,346.25

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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.