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Finding the Fourth Proportional to 46,312, 69,479.64 and 13,480

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Solution

The fourth proportional to 46,312, 69,479.64 and 13,480 is: 20,223.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,312 : 69,479.64 = 13,480 : x
  2. Step 2: Convert to fraction form
    46,312/69,479.64 = 13,480/x
  3. Step 3: Cross multiply
    46,312x = 69,479.64 × 13,480
  4. Step 4: Simplify right side
    46,312x = 936,585,547.20
  5. Step 5: Solve for x
    x = 936,585,547.20/46,312
  6. Step 6: Final answer
    x = 20,223.39

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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.