Home / 31,781.76-47,688-13,075.60

Finding the Fourth Proportional to 31,781.76, 47,688 and 13,075.60

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Solution

The fourth proportional to 31,781.76, 47,688 and 13,075.60 is: 19,619.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,781.76 : 47,688 = 13,075.60 : x
  2. Step 2: Convert to fraction form
    31,781.76/47,688 = 13,075.60/x
  3. Step 3: Cross multiply
    31,781.76x = 47,688 × 13,075.60
  4. Step 4: Simplify right side
    31,781.76x = 623,549,212.80
  5. Step 5: Solve for x
    x = 623,549,212.80/31,781.76
  6. Step 6: Final answer
    x = 19,619.72

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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.