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Finding the Fourth Proportional to 13,970.32, 19,270.86 and 9,002.32

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Solution

The fourth proportional to 13,970.32, 19,270.86 and 9,002.32 is: 12,417.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.32 : 19,270.86 = 9,002.32 : x
  2. Step 2: Convert to fraction form
    13,970.32/19,270.86 = 9,002.32/x
  3. Step 3: Cross multiply
    13,970.32x = 19,270.86 × 9,002.32
  4. Step 4: Simplify right side
    13,970.32x = 173,482,448.40
  5. Step 5: Solve for x
    x = 173,482,448.40/13,970.32
  6. Step 6: Final answer
    x = 12,417.93

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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.