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Finding the Fourth Proportional to 30,875, 46,312.46 and 7,501.40

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Solution

The fourth proportional to 30,875, 46,312.46 and 7,501.40 is: 11,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,875 : 46,312.46 = 7,501.40 : x
  2. Step 2: Convert to fraction form
    30,875/46,312.46 = 7,501.40/x
  3. Step 3: Cross multiply
    30,875x = 46,312.46 × 7,501.40
  4. Step 4: Simplify right side
    30,875x = 347,408,287.44
  5. Step 5: Solve for x
    x = 347,408,287.44/30,875
  6. Step 6: Final answer
    x = 11,252.09

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.